Discussion of Homotopy Type Theory and Univalent Foundations
 help / color / mirror / Atom feed
From: Bas Spitters <b.a.w.spitters@gmail.com>
To: homotopytypetheory <homotopytypetheory@googlegroups.com>
Subject: [HoTT] Joyal's definition of elementary higher topos
Date: Fri, 21 Feb 2020 14:23:37 +0100	[thread overview]
Message-ID: <CAOoPQuQc317E8qUEOWJ2JQD_iXAFyE=Wcttruqd5A8tRpHqttg@mail.gmail.com> (raw)

In 2014, Andra Joyal proposed a definition of an elementary higher topos.

"This lecture contains a proposed definition that is not an
(∞,1)-category but a presentation of one by a model category-like
structure; this is closer to the type theory, but further from the
intended examples. In particular, there are unresolved coherence
questions even as to whether every Grothendieck (∞,1)-topos can be
presented by a model in Joyal’s sense (in particular, how strict can a
universe be made, and can the natural numbers object be made

Has there been any progress on these coherence questions?

You received this message because you are subscribed to the Google Groups "Homotopy Type Theory" group.
To unsubscribe from this group and stop receiving emails from it, send an email to HomotopyTypeTheory+unsubscribe@googlegroups.com.
To view this discussion on the web visit https://groups.google.com/d/msgid/HomotopyTypeTheory/CAOoPQuQc317E8qUEOWJ2JQD_iXAFyE%3DWcttruqd5A8tRpHqttg%40mail.gmail.com.

             reply	other threads:[~2020-02-21 13:23 UTC|newest]

Thread overview: 3+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2020-02-21 13:23 Bas Spitters [this message]
2020-02-21 22:13 ` Michael Shulman
2020-02-23 23:56   ` Michael Shulman

Reply instructions:

You may reply publicly to this message via plain-text email
using any one of the following methods:

* Save the following mbox file, import it into your mail client,
  and reply-to-all from there: mbox

  Avoid top-posting and favor interleaved quoting:

* Reply using the --to, --cc, and --in-reply-to
  switches of git-send-email(1):

  git send-email \
    --in-reply-to='CAOoPQuQc317E8qUEOWJ2JQD_iXAFyE=Wcttruqd5A8tRpHqttg@mail.gmail.com' \
    --to=b.a.w.spitters@gmail.com \
    --cc=homotopytypetheory@googlegroups.com \


* If your mail client supports setting the In-Reply-To header
  via mailto: links, try the mailto: link
Be sure your reply has a Subject: header at the top and a blank line before the message body.
This is a public inbox, see mirroring instructions
for how to clone and mirror all data and code used for this inbox;
as well as URLs for NNTP newsgroup(s).