From: Michael Shulman <shulman@sandiego.edu>
To: Peter LeFanu Lumsdaine <p.l.lumsdaine@gmail.com>
Cc: Ulrik Buchholtz <ulrikbuchholtz@gmail.com>,
HomotopyTypeTheory@googlegroups.com
Subject: Re: [HoTT] Re: Precategories, Categories and Univalent categories
Date: Wed, 7 Nov 2018 12:01:29 -0800 [thread overview]
Message-ID: <CAOvivQwRKWaYr-UB9v0cxW0G9169CnwfGa4zq920HDaHBmpi-w@mail.gmail.com> (raw)
In-Reply-To: <CAOvivQyG1q9=3YoS8hX3bRQK0yi+mpBnJu+rqb3oon0uPLpZ4A@mail.gmail.com>
On Wed, Nov 7, 2018 at 7:55 AM Michael Shulman <shulman@sandiego.edu> wrote:
> I doubt there is *any*
> choice of terminology for plain MLTT without UA *or* UIP that is
> sensible in that it can be specialized to the right terminology upon
> the addition of either of these two inconsistent axioms.
Well, with tongue slightly in cheek, here is one such definition: a
category is a precategory C such that (if UA holds then C is
univalent). (-:
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next prev parent reply other threads:[~2018-11-07 20:01 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 [this message]
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
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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