From mboxrd@z Thu Jan 1 00:00:00 1970 X-Received: by 10.194.153.199 with SMTP id vi7mr1074819wjb.1.1465034180935; Sat, 04 Jun 2016 02:56:20 -0700 (PDT) X-BeenThere: homotopytypetheory@googlegroups.com Received: by 10.28.142.85 with SMTP id q82ls67529wmd.48.gmail; Sat, 04 Jun 2016 02:56:20 -0700 (PDT) X-Received: by 10.28.176.68 with SMTP id z65mr428658wme.7.1465034180141; Sat, 04 Jun 2016 02:56:20 -0700 (PDT) Return-Path: Received: from mail-wm0-x232.google.com (mail-wm0-x232.google.com. [2a00:1450:400c:c09::232]) by gmr-mx.google.com with ESMTPS id s140si470230wme.1.2016.06.04.02.56.20 for (version=TLS1_2 cipher=ECDHE-RSA-AES128-GCM-SHA256 bits=128/128); Sat, 04 Jun 2016 02:56:20 -0700 (PDT) Received-SPF: pass (google.com: domain of mphm...@gmail.com designates 2a00:1450:400c:c09::232 as permitted sender) client-ip=2a00:1450:400c:c09::232; Authentication-Results: gmr-mx.google.com; dkim=pass head...@gmail.com; spf=pass (google.com: domain of mphm...@gmail.com designates 2a00:1450:400c:c09::232 as permitted sender) smtp.mailfrom=mphm...@gmail.com Received: by mail-wm0-x232.google.com with SMTP id n184so27201737wmn.1 for ; Sat, 04 Jun 2016 02:56:20 -0700 (PDT) DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=gmail.com; s=20120113; h=mime-version:sender:in-reply-to:references:from:date:message-id :subject:to:cc; bh=AuScCUSVpMLcAvnYkqmu8RUNlP0tD+GOvzLC+cllwlU=; b=L94VkBvq+Z0+//hGMzdj9DaAzh+FMewsqI7SKGKzkkUfV2NplJXEvWY9T3SecvK5Zh oVIjrQjvFMFgOzXTVr8Y7+uFmUXtHWvu72ykiED/Xay5Rp3MI9oo6uOGiyMNtB8mWNaH W1K6rI9oO8lnSBrbtLzAg3ryb3Ba4AnEL9HRdNXTCA7sqKgnlCL1UogX/4NzM7Yi30ej Vv2AoQ+IYLRwsXY5DH2ynuwBcWnPWyarudnK9En/BNpI6dVQBJtS3HLR2Kn30zaN0dPt yTQzg6mOqRCKwnFvKD1btTJQATedcFayl0FU57mhcOf1/dSRAM2qUudS6aeRFFPRnHA7 onSA== X-Gm-Message-State: ALyK8tKsfLOETlWI4alRLCuWUq3b+83FEkGHQluO3Y/MAZ0NZ1LErKc0OCC1lw8Z2DlfaAW4mGu4o9uI6BvepQ== X-Received: by 10.194.5.7 with SMTP id o7mr7106229wjo.145.1465034179961; Sat, 04 Jun 2016 02:56:19 -0700 (PDT) MIME-Version: 1.0 Sender: mphm...@gmail.com Received: by 10.194.112.33 with HTTP; Sat, 4 Jun 2016 02:56:00 -0700 (PDT) In-Reply-To: References: <5750A527.4060705@cs.bham.ac.uk> From: =?UTF-8?Q?andr=C3=A9_hirschowitz?= Date: Sat, 4 Jun 2016 11:56:00 +0200 Message-ID: Subject: Re: [HoTT] Re: What is UF, what is HoTT and what is a univalent type theory? To: Vladimir Voevodsky Cc: Andrew Polonsky , Martin Escardo , Homotopy Type Theory Content-Type: multipart/alternative; boundary=047d7b5d8d45e16b6c053470d914 --047d7b5d8d45e16b6c053470d914 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: quoted-printable Thanks! 2016-06-04 10:38 GMT+02:00 Vladimir Voevodsky : > It is very easy to formalize, for example in UniMath, the concept of a > quasi-category. > I now understand that you even accept such a "flattened" notion of (oo, 1)-category. Great! So, since at least one (simple, standard) definition is already there, what exactly is missing in your view for them "all start to turn their heads in [y]our direction"? andr=C3=A9 --047d7b5d8d45e16b6c053470d914 Content-Type: text/html; charset=UTF-8 Content-Transfer-Encoding: quoted-printable
Thanks!

2016-06-04 10:38 GMT+02:00 Vlad= imir Voevodsky <vlad...@ias.edu>:
It is very easy to formalize, for example in = UniMath, the concept of a quasi-category.=C2=A0

=
I now understand that you even accept such a "flattened&quo= t; notion of
(oo, 1)-category. Great! So, since at least one (simple, s= tandard) definition is already there, what exactly is missing in your view = for them "all start to turn their heads in [y]our direction"?
=
andr=C3=A9


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