Discussion of Homotopy Type Theory and Univalent Foundations
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From: Thomas Streicher <streicher@mathematik.tu-darmstadt.de>
To: Emily Riehl <eriehl@math.jhu.edu>
Cc: Homotopy Type Theory <homotopytypetheory@googlegroups.com>
Subject: Re: [HoTT] Precategories, Categories and Univalent categories
Date: Thu, 8 Nov 2018 17:10:40 +0100	[thread overview]
Message-ID: <20181108161040.GA12857@mathematik.tu-darmstadt.de> (raw)
In-Reply-To: <18A8A179-4ECC-4C70-816B-0F700F47CF0E@math.jhu.edu>

> A functor p : E ???> B between (???,1)-categories is a cartesian fibration if the corresponding functor p^2 : E^2 ???> B/p admits a right adjoint right inverse (right adjoint whose counit is invertible). 

That's not the definition on the nLab nor is it the one in Lurie and
also not in Joyal's writings.

Thomas

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  parent reply	other threads:[~2018-11-08 16:11 UTC|newest]

Thread overview: 46+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2018-11-07 10:03 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
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 [this message]
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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