Discussion of Homotopy Type Theory and Univalent Foundations
 help / color / mirror / Atom feed
From: Andrej Bauer <andrej...@andrej.com>
To: "HomotopyT...@googlegroups.com" <homotopyt...@googlegroups.com>
Subject: Do (co)limits commute with (co)limits?
Date: Tue, 13 Mar 2018 18:24:20 +0100	[thread overview]
Message-ID: <CAB0nkh0XFcN+aeUGiuhLwA-1kKe6z+qS=17=M5RDtFeFbSumKA@mail.gmail.com> (raw)

In HoTT we know how to treat limits and colimits over graphs (where we
do not truncate in any way) as HITs.

Has anyone proved in HoTT, or attempted to prove, that colimits
commute with colimits, or that limits commute with limits? My
higher-categorical mojo is non-existent, so I don't even know whether
I should expect horrible complications. But it would be quite useful
to know whether such commutativity holds.

With kind regards,

Andrej

             reply	other threads:[~2018-03-13 17:24 UTC|newest]

Thread overview: 2+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2018-03-13 17:24 Andrej Bauer [this message]
2018-03-14 19:18 ` [HoTT] " Egbert Rijke

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:
  https://en.wikipedia.org/wiki/Posting_style#Interleaved_style

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

  git send-email \
    --in-reply-to='CAB0nkh0XFcN+aeUGiuhLwA-1kKe6z+qS=17=M5RDtFeFbSumKA@mail.gmail.com' \
    --to="andrej..."@andrej.com \
    --cc="homotopyt..."@googlegroups.com \
    /path/to/YOUR_REPLY

  https://kernel.org/pub/software/scm/git/docs/git-send-email.html

* 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).