Discussion of Homotopy Type Theory and Univalent Foundations
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From: Thorsten Altenkirch <Thorsten.Altenkirch@nottingham.ac.uk>
To: Thomas Streicher <streicher@mathematik.tu-darmstadt.de>,
	Ulrik Buchholtz <ulrikbuchholtz@gmail.com>
Cc: Homotopy Type Theory <homotopytypetheory@googlegroups.com>
Subject: Re: [HoTT] Re: Precategories, Categories and Univalent categories
Date: Wed, 7 Nov 2018 16:54:01 +0000	[thread overview]
Message-ID: <BA8E7A39-A1A5-4F04-BB6D-EA356288B0B4@exmail.nottingham.ac.uk> (raw)
In-Reply-To: <20181107153556.GC26970@mathematik.tu-darmstadt.de>

Meinst Du dass die Homs sets sind, oder?

Man braucht ja nicht, dass die Objekte ein Set sind. Insbesondere erlaubt iuns das die Kategorie der Sets zu definieren (also beides klein und HSet).

T.

On 07/11/2018, 15:36, "homotopytypetheory@googlegroups.com on behalf of Thomas Streicher" <homotopytypetheory@googlegroups.com on behalf of streicher@mathematik.tu-darmstadt.de> wrote:

    What one calls a category should be a set in the HoTT sense,
    i.e. validate UIP, but not a set in the sense of size.
    
    Every deviation from that should be signalled by some adjectives or
    prefixes. That reflects the practice in category theory.
    
    Thomas
    
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  reply	other threads:[~2018-11-07 16:54 UTC|newest]

Thread overview: 46+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2018-11-07 10:03 [HoTT] " Ali Caglayan
2018-11-07 10:31 ` [HoTT] " Paolo Capriotti
2018-11-07 10:35 ` Ulrik Buchholtz
2018-11-07 10:37   ` Ulrik Buchholtz
2018-11-07 11:09   ` Peter LeFanu Lumsdaine
2018-11-07 11:43     ` Ulrik Buchholtz
2018-11-07 11:50       ` Erik Palmgren
2018-11-07 11:51       ` Ulrik Buchholtz
2018-11-07 12:03         ` Erik Palmgren
2018-11-07 12:21           ` Martín Hötzel Escardó
2018-11-07 13:00             ` Erik Palmgren
2018-11-07 13:02             ` Bas Spitters
2018-11-07 13:47               ` Ali Caglayan
2018-11-07 13:53               ` Thomas Streicher
2018-11-07 14:05                 ` Thorsten Altenkirch
2018-11-07 13:58       ` Thorsten Altenkirch
2018-11-07 14:14         ` Ulrik Buchholtz
2018-11-07 14:27           ` Peter LeFanu Lumsdaine
     [not found]             ` <CAOvivQyG1q9=3YoS8hX3bRQK0yi+mpBnJu+rqb3oon0uPLpZ4A@mail.gmail.com>
2018-11-07 20:01               ` Michael Shulman
2018-11-08 21:37               ` Martín Hötzel Escardó
2018-11-08 21:43                 ` Michael Shulman
2018-11-09  4:43                   ` Andrew Polonsky
2018-11-09 10:18                     ` Ulrik Buchholtz
2018-11-09 10:57                       ` Paolo Capriotti
2018-11-07 14:31           ` Thorsten Altenkirch
2018-11-07 14:05       ` Peter LeFanu Lumsdaine
2018-11-07 14:28         ` Ulrik Buchholtz
2018-11-07 15:35           ` Thomas Streicher
2018-11-07 16:54             ` Thorsten Altenkirch [this message]
2018-11-07 16:56               ` Thorsten Altenkirch
2018-11-07 17:31                 ` Eric Finster
2018-11-08 11:58               ` Thomas Streicher
2018-11-08 12:23                 ` [HoTT] " Emily Riehl
2018-11-08 12:28                   ` Emily Riehl
2018-11-08 14:01                     ` Thomas Streicher
2018-11-08 16:10                   ` Thomas Streicher
2018-11-08 14:38                 ` [HoTT] " Michael Shulman
2018-11-08 21:08                   ` Thomas Streicher
2018-11-08 21:30                     ` Michael Shulman
2018-11-09 11:56                       ` Thomas Streicher
2018-11-09 13:46                         ` Michael Shulman
2018-11-09 15:06                           ` Thomas Streicher
2018-11-08 16:01                 ` Thorsten Altenkirch
2018-11-08 19:39                   ` Thorsten Altenkirch
2018-11-07 20:00         ` Michael Shulman
2018-11-08 21:35 ` Martín Hötzel Escardó

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