From mboxrd@z Thu Jan 1 00:00:00 1970 Return-Path: <> X-Spam-Checker-Version: SpamAssassin 3.4.4 (2020-01-24) on inbox.vuxu.org X-Spam-Level: * X-Spam-Status: No, score=1.2 required=5.0 tests=DKIM_ADSP_CUSTOM_MED, DKIM_SIGNED,DKIM_VALID,FREEMAIL_FROM,HTML_MESSAGE,NML_ADSP_CUSTOM_MED, RCVD_IN_DNSWL_NONE,RCVD_IN_MSPIKE_H2,T_SCC_BODY_TEXT_LINE autolearn=no autolearn_force=no version=3.4.4 Received: from AUS01-ME3-obe.outbound.protection.outlook.com (mail-me3aus01hn2221.outbound.protection.outlook.com [52.100.209.221]) by inbox.vuxu.org (Postfix) with ESMTP id 8C5EF25E74 for ; Sun, 3 Mar 2024 03:38:55 +0100 (CET) ARC-Seal: i=4; a=rsa-sha256; s=arcselector9901; d=microsoft.com; cv=pass; b=Qb6JM8zlZ7xa5k28TO1Nd17F/7zA8PLe/hdtA5YgI5UXk9f5070cHnZui4JFHhV6PsL93v6fKyCXi/P8p6yLUjBgcd/VKaf6JzIkMaJtjCA4GdybqvAlIR8Ojjl2r1z6ihQTrBqpHbCXZmyLXx5JEeICl8cLeiH4HHVY96MxqOeOuaQrASkuH9t8wLCTPcrubsnExg2Nj2XUj0YjDWZqgnqeA+XtUk/bJDnnJAUb8PNyeCnjZuzfTRIrE92UEtDmI2ce/RG4hNf/bfFVCkpQNi7aoqpqHnKXf5s2EaMSMP/dpUwTwXytprNmFX8wGngYPUSmyO85UXQh6rEvijkQgQ== ARC-Message-Signature: i=4; a=rsa-sha256; c=relaxed/relaxed; d=microsoft.com; s=arcselector9901; h=From:Date:Subject:Message-ID:Content-Type:MIME-Version:X-MS-Exchange-AntiSpam-MessageData-ChunkCount:X-MS-Exchange-AntiSpam-MessageData-0:X-MS-Exchange-AntiSpam-MessageData-1; bh=709x4V6rNCjGmECCqJ8W8yDnhgxW9bEtVNOgwX5lRx4=; b=UZF6W4L0NYQr7hWKLsK3euDOYEPs8td1MDqDU+ouRyVU8m8IkWbB3WcZQ9FYC9dX8HPWD2S8RwU3i0YvQ+DpY0aXhwPVv1JPHlp2hF5kEN+4s7QJF8ivVDiae48hRqh6a/hgd41zDtKw6rFejFIZsPKa5SEUsLqlNt8KIaq2J4nztC11ydOMzHP0G7rmTzt86gKDtybgpi37ZJagqnuy9TJqU480aFWk5IzqTnEahstkULPBfZ6qqCW48iOydEelzKvj60Sd1osuSY2lQ3FOpub9i+4Owo3eiwyrVtl2fWQMiyZYUT8feyUly6AXZj+mmK+wpoYC9xGDDlu0WZNB/Q== ARC-Authentication-Results: i=4; mx.microsoft.com 1; spf=pass (sender ip is 209.85.161.47) smtp.rcpttodomain=mq.edu.au smtp.mailfrom=gmail.com; dmarc=pass (p=none sp=quarantine pct=100) action=none header.from=gmail.com; dkim=fail (body hash did not verify) header.d=gmail.com; arc=pass (0 oda=0 ltdi=0 93) DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=groups.office.net; s=selector1; h=From:Date:Subject:Message-ID:Content-Type:MIME-Version:X-MS-Exchange-SenderADCheck; bh=709x4V6rNCjGmECCqJ8W8yDnhgxW9bEtVNOgwX5lRx4=; b=UQ8ecdc+bQh8x3bFKDr1RRTgMEnX9vV5RN7Wv9CsksAv5eFCiVg/xayhn53MaqZ+sp4gKD5HLLfjVKKq34iFVrwb3LQua5/oMCkhI7xC9qZSiAcu6JKvslGhD7VGiOOiunNgvCaC7d+Y+PWM8h2U0lYZjGNgx+rgBGp//H19wpQmduQjY2+p2gTnJDZyypu+VZlLAUp193C+o0W0FO2keNXP2xJx7vpXrOc8Po1/h8r075rDRYspM+PAW6KZynqHZ+UKa6ukGsxXAfX7oWeNHwM8b5Wj4zC2EVL/2kIOR1n1ktpaesIQiUj3XpNAxGkYANo+47+5BARivNbgjoVl1w== Received: from SmtpServer.Submit by SYBPR01MB5759 with Microsoft SMTP Server id 15.20.7339.37; Sun, 3 Mar 2024 02:38:53 +0000 ARC-Seal: i=3; a=rsa-sha256; s=arcselector9901; d=microsoft.com; cv=pass; b=eDhBT5VgRN3ocjWot5CfmCLtih7/YSbjYvJ/v9I5RX2h99gVNVX8CukrJBAMctFYzdeVGkeYypgKd1NvaTImaLtdamapYKBaRqUwbsczOTaQxvnsvKIE/UkPfDh3oUjmXCV/ne9yqddJpEx28xcfYwk6sGSQcITNjDHk/W5JGK+lwlctrqPXHAhVGAwvYqnWmrKEvTEMJtlSDlhKVq9vSBrqAf8cyuv6HnzEmQMQcUqPa98wCYSme9lzCQF7i7RGR8RmPQ+i7qyj74SMM5swH9SYUwWL+cubwbutk6SF2M2+7/U3pzSLsWvfqbFzNRB5hfjemR/8hwwute2vf/tYwA== ARC-Message-Signature: i=3; a=rsa-sha256; c=relaxed/relaxed; d=microsoft.com; s=arcselector9901; h=From:Date:Subject:Message-ID:Content-Type:MIME-Version:X-MS-Exchange-AntiSpam-MessageData-ChunkCount:X-MS-Exchange-AntiSpam-MessageData-0:X-MS-Exchange-AntiSpam-MessageData-1; bh=MbMJJXU+eX8tvePPkGBRgvtNsLYOzHFAb77eZhLdudk=; b=ALue98ZsjzNXLLaIw4+9JXbUXjCD5OLhoPCPIaluHBNMFl2j08lj31aPsgTXJ9bPgaPI8TEqCKnvwZ/KLRkfG+ZPQawMDUhQI4St9ykB4PAgjkAPjiSZ6luQop0Wm4JV8BQlj/6piB6EmhOP074OpbuAUJfi0RAJIXqQVbA3WCbrLS6JQBIRgLNqBV+EpjBC87UG6esu6ucigtLFdgWBJOeUbWSiDK4dD648j0iapQRsYWZwQ8hMCB+SwhhukhoT6ojaVv7t5EI8TLcQxz78pnGvQzerpc85j/AmD4qOo+wh7GZ+YfXzbqh/sFxAPIvvPsqpDVtnlE1z0L4PN3Y7ig== ARC-Authentication-Results: i=3; mx.microsoft.com 1; spf=pass (sender ip is 209.85.161.47) smtp.rcpttodomain=mq.edu.au smtp.mailfrom=gmail.com; dmarc=pass (p=none sp=quarantine pct=100) action=none header.from=gmail.com; dkim=fail (body hash did not verify) header.d=gmail.com; arc=pass (0 oda=0 ltdi=0 93) Received: from SY4PR01MB6720.ausprd01.prod.outlook.com (2603:10c6:10:137::14) by SYBPR01MB5759.ausprd01.prod.outlook.com (2603:10c6:10:e5::5) with Microsoft SMTP Server (version=TLS1_2, cipher=TLS_ECDHE_RSA_WITH_AES_256_GCM_SHA384) id 15.20.7339.37; Sun, 3 Mar 2024 02:38:47 +0000 Received: from ME3PR01MB7079.ausprd01.prod.outlook.com (2603:10c6:220:16c::8) by SY4PR01MB6720.ausprd01.prod.outlook.com (2603:10c6:10:137::14) with Microsoft SMTP Server (version=TLS1_2, cipher=TLS_ECDHE_RSA_WITH_AES_256_GCM_SHA384) id 15.20.7339.32; Sun, 3 Mar 2024 02:38:44 +0000 Received: from ME3PR01MB7079.ausprd01.prod.outlook.com ([fe80::ce17:246:e2f0:a904]) by ME3PR01MB7079.ausprd01.prod.outlook.com ([fe80::ce17:246:e2f0:a904%4]) with mapi id 15.20.7339.035; Sun, 3 Mar 2024 02:38:43 +0000 ARC-Seal: i=2; a=rsa-sha256; s=arcselector9901; d=microsoft.com; cv=pass; b=bGWCh84N9H2VP19mtffqz5VePwdfNNyokUbgvZlw7LPTCuGKbJLVmQoEV/GbCoV8MR5YZNHpllxN3hkABM4NUMDdlrUS7Gk8jebpYRGX24KS3C88q18LjX6DBto5AbttOyE3fdKWDdR/QbQ5Fmc2KH0HPGKwkItsAsgswFt32bZ9aB9WvM4+fNKZp/ccsgYv/sSvLiwsy++mS+8aag0GZbNm8wEZ3yB/3o4pkius8o/dP4nEKkZ+9UNB9SVw5tRgzP4WLVSL65/Pvf4wUJPE+n6h0gTiDP4gEC3rpS5DGxj9J0tymRXMoHFB/vpSvyyoOQXQ2ozmzWOfDHfz0NFyiA== ARC-Message-Signature: i=2; a=rsa-sha256; c=relaxed/relaxed; d=microsoft.com; s=arcselector9901; h=From:Date:Subject:Message-ID:Content-Type:MIME-Version:X-MS-Exchange-AntiSpam-MessageData-ChunkCount:X-MS-Exchange-AntiSpam-MessageData-0:X-MS-Exchange-AntiSpam-MessageData-1; bh=MbMJJXU+eX8tvePPkGBRgvtNsLYOzHFAb77eZhLdudk=; b=hckOWxaUSWxgYZ/x4E2RnPhy2mp9dbP8EuqpefP3ZwIq15fPUtFHeWROPW1JLjXeqXDld7JXQQrPw/sofp6FX1YTkRBZQAXuRYybQWD/IR05v82dPIeYK9jNQ2PYbFwEGDuOmRwKclmfsPM1CDRUjmLbyxfc/R90c1iip9itswVphMDuFpFA9WIpBG+eRj54bcgx2Oo4lErJcRfef6JDDGID+nNrs1tpQYtVjJ/mSmXUnNcVreNqUGlCKEUGwcSBS3dIWSRYTxudMEQdJ4GghxAmyXl9IvTRmNonggkIBFMbKZE4GIxStIoKOQMFy4RmYwnURw0LqdbnyZ2ZIH+FQQ== ARC-Authentication-Results: i=2; mx.microsoft.com 1; spf=pass (sender ip is 209.85.161.47) smtp.rcpttodomain=mq.edu.au smtp.mailfrom=gmail.com; dmarc=pass (p=none sp=quarantine pct=100) action=none header.from=gmail.com; dkim=fail (body hash did not verify) header.d=gmail.com; arc=pass (0 oda=0 ltdi=0 93) Received: from SY5P282CA0103.AUSP282.PROD.OUTLOOK.COM (2603:10c6:10:204::9) by SYBPR01MB6256.ausprd01.prod.outlook.com (2603:10c6:10:ec::13) with Microsoft SMTP Server (version=TLS1_2, cipher=TLS_ECDHE_RSA_WITH_AES_256_GCM_SHA384) id 15.20.7339.37; Sun, 3 Mar 2024 02:37:44 +0000 Received: from SY2PEPF00004FF5.ausprd01.prod.outlook.com (2603:10c6:10:204:cafe::d8) by SY5P282CA0103.outlook.office365.com (2603:10c6:10:204::9) with Microsoft SMTP Server (version=TLS1_2, cipher=TLS_ECDHE_RSA_WITH_AES_256_GCM_SHA384) id 15.20.7339.32 via Frontend Transport; Sun, 3 Mar 2024 02:37:44 +0000 Authentication-Results: spf=pass (sender IP is 209.85.161.47) smtp.mailfrom=gmail.com; dkim=fail (body hash did not verify) header.d=gmail.com;dmarc=pass action=none header.from=gmail.com; Received-SPF: Pass (protection.outlook.com: domain of gmail.com designates 209.85.161.47 as permitted sender) receiver=protection.outlook.com; client-ip=209.85.161.47; helo=mail-oo1-f47.google.com; pr=C Received: from au-smtp-inbound-delivery-1.mimecast.com (103.96.22.101) by SY2PEPF00004FF5.mail.protection.outlook.com (10.167.241.7) with Microsoft SMTP Server (version=TLS1_2, cipher=TLS_ECDHE_RSA_WITH_AES_256_GCM_SHA384) id 15.20.7362.11 via Frontend Transport; Sun, 3 Mar 2024 02:37:44 +0000 ARC-Message-Signature: i=1; a=rsa-sha256; c=relaxed/relaxed; d=dkim.mimecast.com; s=201903; t=1709433463; h=from:from:reply-to:subject:subject:date:date:message-id:message-id: to:to:cc:cc:mime-version:mime-version:content-type:content-type: in-reply-to:in-reply-to:references:references:dkim-signature; bh=MbMJJXU+eX8tvePPkGBRgvtNsLYOzHFAb77eZhLdudk=; b=h6NS6Tj4x++wgu4HPXfPA/7lpFz5wXq/2Y13Duwr4Pfxb9F7iYNotcXVDuho6P0nC0+BFZ JUiUv6OkYEQxgaar9/7MQOEb3GbjOjRW++19W69mRFSBaM9cTdd5BQlnXXvQpoLDr72DBh 6AfBoGHNNFVnuzB9uyThq76G1NWgrVFkzuFaAy1uD6RVMoa2cXpp/oqrjQbPcTsx+uC88G T7uBgvGaZNc6gdcuAxIRA1qgAvr8lB+otxo3aPQnMPz3tt9t3qgWDPqse2o1rVtV1WIDds 28/lV8jJfXx9oxWYaN3To9uvyiHul1trGJP+0oEVaypVUfUr69zBmanxFZP/wQ== ARC-Seal: i=1; s=201903; d=dkim.mimecast.com; t=1709433463; a=rsa-sha256; cv=none; b=m8UsFmGsyltzy+B7i1zjkGfttu7ghr/2BsIvjWtpW8WnBru9OWi3HrmGggT6fP189WdNJF J8vGvMAKeBPOK0jzjJQ85Fi9JTxzbz0EqH7LNTw29wWSzocs+LOxP/7AkGDfNev1maGWDy 1UMBWEm2KX/8tAKAtWsKrOMdoVcR51JLocb/2pkw5/S1+8iNGn+pIQowsCzUKaIo4FmNpn Jz20nUX259iucMvVo5hnejBbwkS7HRIBpN/9bq6Ll+oVNkm4mP+GGYrDrfETXeprtXJvgY 4fy5L1rxYoIwXuNY5QPCuPiEXk/uLmsb4ZPxk51MrBAE5HPZPCu9mFt86Tjjbg== ARC-Authentication-Results: i=1; relay.mimecast.com; dkim=pass header.d=gmail.com header.s=20230601 header.b=lRX3Z2VA; dmarc=pass (policy=none) header.from=gmail.com; spf=pass (relay.mimecast.com: domain of danilov@gmail.com designates 209.85.161.47 as permitted sender) smtp.mailfrom=danilov@gmail.com Received: from mail-oo1-f47.google.com (mail-oo1-f47.google.com [209.85.161.47]) by relay.mimecast.com with ESMTP with STARTTLS (version=TLSv1.3, cipher=TLS_AES_256_GCM_SHA384) id au-mta-36-Bn9enxgfMM6D9r5wWyNQBw-1; Sun, 03 Mar 2024 13:37:41 +1100 X-MC-Unique: Bn9enxgfMM6D9r5wWyNQBw-1 Received: by mail-oo1-f47.google.com with SMTP id 006d021491bc7-5a0eb434eedso1546650eaf.3 for ; Sat, 02 Mar 2024 18:37:40 -0800 (PST) DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=gmail.com; s=20230601; t=1709433459; x=1710038259; darn=mq.edu.au; h=cc:to:subject:message-id:date:from:in-reply-to:references :mime-version:from:to:cc:subject:date:message-id:reply-to; bh=5pUy32wKpOeX5diyRtnNDuj6MCKSFRJRnHLEFBlswS0=; b=lRX3Z2VAZ2lZXaccGpWARAnsQO3Ssc/C1LK1BamGJwpO6J28w5Wir0w442xRd9Cag0 LAEZFaXZbX+hbCYteaeXzpXDa+k3VSywYqgkwWH2BqMirhr9xxcYMSHBS8YFlN5V/25m eTxNVtb030upDs1zGKBoxaITuWr845SWkxMH20S1RXIYILdJpMEFcah1IrggAmYxLhPp p1ClvOrjNbEClBmYefJWnhfhnCBV7N3PbeopPmFyuQavlS6F5yveVrUZx2lflqEk9k5c UloSb3HsUaa50XzMQ/W2t5ftbaBfycv5OaIvBFkobzL+5zieSJLSJDzo8kJA4dqJeC5D sztw== X-Google-DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=1e100.net; s=20230601; t=1709433459; x=1710038259; h=cc:to:subject:message-id:date:from:in-reply-to:references :mime-version:x-gm-message-state:from:to:cc:subject:date:message-id :reply-to; bh=5pUy32wKpOeX5diyRtnNDuj6MCKSFRJRnHLEFBlswS0=; b=NY+sV/Eq/frxu3itpYHuKNSC2t+nvse6khLz3Uj5UdpP3t2qtfMVEELBGPvyScgUzq wN/xy2ZmmtJbPsSj9YDAsnuISf6V+WMzYCfNpgVYNO/uHwvl7C8TiieT0Rl8BUmdz8Ct xaXTriqAv1wFDX2x20dyGGWPzEHeZzWLsHgPqc8OBja6NjGV51MdUBszEtLU1of7RBS3 /4mbALolm85CBMKq4evldmR6Wp9rVukoHB9+3rMvkRIJg4i4jstTPfFKOfDyZNYqmdxV lQfxnIqc8dNVFYEVxkcVasIAT4JoCmi2yQXLH0ZTcaOKDDzcGel5icK833DjrvB87/Em GtSQ== X-Gm-Message-State: AOJu0YxxsUh9xVNv2iO/2AMG9y32taVzSTDz8+ZJzEeD0yadpw6PRSjP st1wzQKp3R0wYQvULwK1JbVyXAXxWoINtH8GTIlVf8D+0U7GO4HMMTny9CcrnyxywuLU4SACmKu ptgzYzDzGZ2SxW/rOw0oFA6RNrEY= X-Google-Smtp-Source: AGHT+IF8dCvBoVlw99myOB1v30zRGxeElu1Jjm//EuwttXwNKsouNrtIq4TajovdT0JtzTiE76nr0g2bbktAravO2H8= X-Received: by 2002:a9d:4d84:0:b0:6e4:c45b:6876 with SMTP id u4-20020a9d4d84000000b006e4c45b6876mr6190278otk.3.1709433458833; Sat, 02 Mar 2024 18:37:38 -0800 (PST) MIME-Version: 1.0 References: In-Reply-To: From: Nikita Danilov Date: Sat, 2 Mar 2024 21:37:26 -0500 Message-ID: Subject: Re: Historical notes in Freyd's Abelian Categories To: "Michael Barr, Prof." CC: "categories@mq.edu.au" Authentication-Results-Original: relay.mimecast.com; dkim=pass header.d=gmail.com header.s=20230601 header.b=lRX3Z2VA; dmarc=pass (policy=none) header.from=gmail.com; spf=pass (relay.mimecast.com: domain of danilov@gmail.com designates 209.85.161.47 as permitted sender) smtp.mailfrom=danilov@gmail.com X-Mimecast-Spam-Score: -4 X-Mimecast-Impersonation-Protect: Policy=MQ - Tag Header Only on Default Settings;Similar Internal Domain=false;Similar Monitored External Domain=false;Custom External Domain=false;Mimecast External Domain=false;Newly Observed Domain=false;Internal User Name=false;Custom Display Name List=false;Reply-to Address Mismatch=false;Targeted Threat Dictionary=false;Mimecast Threat Dictionary=false;Custom Threat Dictionary=false Content-Type: multipart/alternative; boundary="00000000000014bec20612b87ea3" X-EOPAttributedMessage: 0 X-EOPTenantAttributedMessage: 82c514c1-a717-4087-be06-d40d2070ad52:0 X-MS-Exchange-SkipListedInternetSender: ip=[209.85.161.47];domain=mail-oo1-f47.google.com X-MS-Exchange-ExternalOriginalInternetSender: ip=[209.85.161.47];domain=mail-oo1-f47.google.com X-MS-PublicTrafficType: Email X-MS-TrafficTypeDiagnostic: SY2PEPF00004FF5:EE_|SYBPR01MB6256:EE_|SY4PR01MB6720:EE_|SYBPR01MB5759:EE_ X-MS-Office365-Filtering-Correlation-Id: 1b0c441d-3881-4a8a-05a3-08dc3b2ae7ad X-Moderation-Data: 3/3/2024 2:38:41 AM X-LD-Processed: 82c514c1-a717-4087-be06-d40d2070ad52,ExtAddr,ExtAddr X-MS-Exchange-AtpMessageProperties: SA X-MS-Exchange-SenderADCheck: 0 X-MS-Exchange-AntiSpam-Relay: 0 X-Microsoft-Antispam: BCL:0; X-Microsoft-Antispam-Message-Info: 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 X-Forefront-Antispam-Report: CIP:103.96.22.101;CTRY:US;LANG:en;SCL:1;SRV:;IPV:NLI;SFV:NSPM;H:mail-oo1-f47.google.com;PTR:mail-oo1-f47.google.com;CAT:NONE;SFS:(13230031)(32650700005)(35950700004)(376005)(82310400014)(41110700001)(41080700001)(41090700016);DIR:OUT;SFP:1501; X-Auto-Response-Suppress: DR, RN, NRN, OOF, AutoReply X-MS-Exchange-CrossTenant-Network-Message-Id: 1b0c441d-3881-4a8a-05a3-08dc3b2ae7ad X-MS-Exchange-CrossTenant-Id: 82c514c1-a717-4087-be06-d40d2070ad52 X-MS-Exchange-CrossTenant-AuthSource: SY2PEPF00004FF5.ausprd01.prod.outlook.com X-MS-Exchange-CrossTenant-AuthAs: Anonymous X-MS-Exchange-CrossTenant-FromEntityHeader: Internet X-MS-Exchange-CrossTenant-OriginalArrivalTime: 03 Mar 2024 02:38:43.9149 (UTC) X-MS-Exchange-CrossTenant-MailboxType: HOSTED X-MS-Exchange-CrossTenant-UserPrincipalName: tt+8TtaAHDd1IB68Z0o4xtqsI0RGdz2kIjzmWrGC1taDiqYH0ROMufLUrifSNWI72iUWKxdecHw5RqjOeJwkX5O+eYFIfclKynrhX9MRBUuYrWAuGE78VzgfFvIGtUBuEqFzGKWpLJ4kv6cdODldP4XOotFXmxU5kY3M3Wt+gU37QEjVQZDPuU60f9XpcYh7 X-MS-Exchange-Transport-CrossTenantHeadersStamped: SYBPR01MB5759 X-MS-Exchange-UnifiedGroup-DisplayName: Categories mailing list X-MS-Exchange-UnifiedGroup-Address: categories@mq.edu.au X-MS-Exchange-UnifiedGroup-MailboxGuid: 9c2f954e-92a7-451b-b723-a07075d7adb5 X-MS-Exchange-UnifiedGroup-CustomizedMessage: RedeemedBusinessGuests X-MS-Exchange-Parent-Message-Id: Auto-Submitted: auto-generated X-MS-Exchange-Generated-Message-Source: Throttled Fork Delivery Agent X-MS-Exchange-AntiSpam-MessageData-ChunkCount: 1 X-MS-Exchange-AntiSpam-MessageData-0: =?utf-8?B?VGJrRXdva0RBbHNqb1ZQRlQ2QW1uN1JNRXk2bGdaZG9Cbmh4QkUrWFhUUXdv?= =?utf-8?B?N0lEbS8xK3dIS1FETEowZU9PeGJEeFVDT1QrRnNPU08zdysyZytSNFMwalF5?= =?utf-8?B?cHJNVHBFaTJXWittb1F0Y1BtZ3FEZEZpWEN4QmpmazU1cGYwRGdSYU9wcVM1?= =?utf-8?B?RTIrVmJxeThkZ3lYVGlScXVROFpyQVFsUnJzYTZhTFJGN051djlwakUyZHFu?= =?utf-8?B?YnRONjB6b09aMUdmOTdwS3BQUFVQY25wazVxMHBQRzk5MnlsdWJHbzR3ZzdK?= =?utf-8?B?ZEhhSnZaaWFxSWdKQVVqL3dDNWpEdzZySlJlVy9OYTZna09VYVlMdFk1Y20r?= =?utf-8?B?WDRUekQ4cWRSNGxvY1pheFEwR1hqL3Nwang5K3UzZ1ZGc2FhSWdKSk81a29m?= =?utf-8?B?N1E1MjNZS3oyaGdKcS9HWTlsVCtUMWVxTGtqQ294dmxlZTRqclV4UGdJck1Z?= =?utf-8?B?cFJDb3V1aCttWW5iR0E3VEd6bnc5NDBvQVViRDJ0VFdyUGdPazVvODlMZWFF?= =?utf-8?B?OGM5VGw0NzJxYzR6cjR0NnlDSEJqejZraVVENFg3RDB3ZnArM00wMTRDbVdo?= =?utf-8?B?V0xvVSt2SHFXUGdmajlOWDAyeWFTdnV3WUF0c0hZNEhyb3RsMHE2cmlDTkhK?= =?utf-8?B?anFxVThmUjFhS00va1cya0IzT2RhdC9BbTFCVFF5VDNuMlp6VXFPenRQK05w?= =?utf-8?B?SWJPbnBNQlVrNG85NHUzSWl2aHZFNWlqNFVSZE1TRDdJZXNsd3RaTlhhTFV1?= =?utf-8?B?ajBKa2JrUzZvUVJ2THBWdTRFRnllemJSVXV5eVpSUE1jOTdTSUJSaHRQOWNl?= =?utf-8?B?dlRmWElCTzhGa2Y3Z1dmZFV6ODViSmlHWDI1L3NZd0Fsd2o3UU15d0RKSkVB?= =?utf-8?B?allwZVBpK042azRaNkNyWW91UzU4Q1E4Y2NON3VVb2hBa2t4Q2FuQWh5ZWVX?= =?utf-8?B?aDBTUmNnelV3MEZvNDZtYkZYSFRHci84cUU5MDdlMFJUQzJPMWZBOXlSQjJx?= =?utf-8?B?bDArdFEwWjZWK2Q3aVBWWGlPejJDNkZHL09TSDgyK3BTYWxrRzJxRWNIemNu?= =?utf-8?B?ckRURUw2TThUOUFpbzB5ZUZLdEd1bDJRNndKbFhzUEJ1dWZaRjJLaFBVVThq?= =?utf-8?B?aFdaWXBPc3NJSGFJMVJvQWFRUHE1YjFiUnMwM3JEKzFDMWZWU1lTd2tqbTlx?= =?utf-8?B?VlhJajNCZWtJdVdSNTdENGFYYTJuT2VIVmFuNW5tODcvOSszN0Iya2JieWJj?= =?utf-8?B?M0xGc05LR0c4amc1cWdUUlJjYVMzOGRhZ2VuSXJWTjhDWUNneTU1K3VEc1E2?= =?utf-8?B?WFBTakhoQUprN2t3c3FIV1JMRCszNUthd3o4WlVTNTUxbW1reThCVERMc29X?= =?utf-8?B?aFdrbWFOZVNIaUVEd2F5ZExRbkdSQm1aRVBtQ29LT2lUTVNZc3loY1p2bHF6?= =?utf-8?B?R3oxeDl5VjlVOUlESkEvYitwTHBiK1hSRTBDUDRXeERiS1dIRW0zTFdpWUFl?= =?utf-8?B?bXhRbmRSby8xNGtzbmpkUnduSW1DV1o3MjRlKzBPbDcrNFFxdnVFSzlzM3Iz?= =?utf-8?B?b3FMbUxaMVR1OStveUlwaG96OVRGZ0FUcUNQYVNZaXRmSlV0Y3RBTFhaSmZB?= =?utf-8?B?WWtrZHl1ajg4UUFGT2Noc00yMFFpcUFsVTNmZkx2YTgrWFVsVDRuWFhaRWQ1?= =?utf-8?B?QXBDMVdwL2Fac2ZqS0VjcU53THpXNkF4V3dBWkt1bGFoYkQzVjlkK0c3dEhy?= =?utf-8?B?cnozSDIxZFB1MmZBVUlIUVArMEtNUVN1dUxKQy82ZTMwN2xNS1FheUMrTkxy?= =?utf-8?B?TFVBZThkWHZoVVFTcnN5dElBOUVWRlh5bzhiYklMcE5Ia0o3Q25kV1FEQm1X?= =?utf-8?B?dEF1RXcxQk1xSVU0WER0bGltdk52TmEvcVl3M21HT0FzTXAwM2ZQQVBqMVpY?= =?utf-8?Q?tFqgMZw2bIcHlXCfiGY/O/EFjL97/Mmi?= X-OriginatorOrg: mq.edu.au --00000000000014bec20612b87ea3 Content-Type: text/plain; charset="utf-8" Content-Transfer-Encoding: quoted-printable This reminds me of a (probably trivial) question that occurred to me some t= ime ago. N. Bourbaki's Theory of Sets has a result very similar to the gene= ral adjoint functor theorem (CST22 in Chapter IV, 3.2). This volume was pri= nted about 4 years after Abelian Categories. Is the history behind the Bour= baki's version known? Thank you, Nikita. On Sat, 2 Mar 2024 at 19:55, Michael Barr, Prof. > wrote: Peter has called my attention to the existence of some historical notes in = the preface to the TAC reprint (TR-3) of Abelian categories. In particular= , he had already essentially discovered the general adjoint functor, at lea= st for reflective subcategories) in his undergrad honors thesis, even thoug= h adjoints had not yet been defined. The preface in the TAC reprint includ= es things not in any other published version of the book. Michael You're receiving this message because you're a member of the Categories mai= ling list group from Macquarie University. To take part in this conversatio= n, reply all to this message. View group files | Leave group = | Learn more about Microsoft 365 Groups You're receiving this message because you're a member of the Categories mai= ling list group from Macquarie University. To take part in this conversatio= n, reply all to this message. View group files | Leave group | = Learn more about Microsoft 365 Groups --00000000000014bec20612b87ea3 Content-Type: text/html; charset=UTF-8 Content-Transfer-Encoding: quoted-printable
This reminds me of a (probably trivial) question that occu= rred to me some time ago. N. Bourbaki's Theory of Sets has a result very si= milar to the general adjoint functor theorem (CST22 in Chapter IV, 3.2). Th= is volume was printed about 4 years after Abelian Categories. Is the history behind the Bourbaki's v= ersion known?

Thank you,<= /div>
Nikita.


On Sat, 2 Mar 2024 at 19:55, Michael = Barr, Prof. <barr.michael@mcgi= ll.ca> wrote:
Peter has called my attention to the existence of some historical notes in = the preface to the TAC reprint (TR-3) of Abelian categories.  In parti= cular, he had already essentially discovered the general adjoint functor, a= t least for reflective subcategories) in his undergrad honors thesis, even though adjoints had not yet been defi= ned.  The preface in the TAC reprint includes things not in any other = published version of the book.

Michael
 
 
You're receiving this message because you're a member of the Categories mai= ling list group from Macquarie University. To take part in this conversatio= n, reply all to this message.
 
View&n= bsp;group files = ;  |   Leave group   |   Learn more about Microsoft 365 Groups
 
 
 
You're receiving this message because you're a member of the Categories mai= ling list group from Macquarie University. To take part in this conversatio= n, reply all to this message.
 
View group files   |   Leav= e group   |&n= bsp;  Learn more about Microsoft 365 Groups
 
--00000000000014bec20612b87ea3--