From: Andrew Pitts <Andrew...@cl.cam.ac.uk>
To: Michael Shulman <shu...@sandiego.edu>
Cc: "HomotopyT...@googlegroups.com" <HomotopyT...@googlegroups.com>
Subject: Re: [HoTT] univalence without coherent equivalences
Date: Mon, 14 Aug 2017 10:36:44 +0100 [thread overview]
Message-ID: <CAK4K4j3yDOi8kNVHEFc2RQbDck03Z_y7FxUH-NsR0UuV-TKkcQ@mail.gmail.com> (raw)
In-Reply-To: <CAOvivQzpOsiK2KzXY6MhjHJwpk0a+gRsxSa5BbCNE4D7PhV3JQ@mail.gmail.com>
On 14 August 2017 at 10:32, Michael Shulman <shu...@sandiego.edu> wrote:
> On Mon, Aug 14, 2017 at 2:29 AM, Andrew Pitts <Andrew...@cl.cam.ac.uk> wrote:
>> and replacing “every equivalence” by
>> “every isomorphism” is nice (I had noticed that finesse before),
>> except for the fact that transport along an identification is in
>> general an equivalence rather than an iso.
>
> Transport along an identification is certainly an "isomorphism" too;
> isn't that just as easy to prove as that it's an equivalence (for any
> notion of coherent equivalence)?
Oh, yes, quite right (note to self: think before you post!)
Andy
prev parent reply other threads:[~2017-08-14 9:37 UTC|newest]
Thread overview: 6+ messages / expand[flat|nested] mbox.gz Atom feed top
2017-08-10 20:57 Michael Shulman
2017-08-13 22:05 ` [HoTT] " Nicolai Kraus
2017-08-14 4:15 ` Michael Shulman
2017-08-14 9:29 ` Andrew Pitts
2017-08-14 9:32 ` Michael Shulman
2017-08-14 9:36 ` Andrew Pitts [this message]
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=CAK4K4j3yDOi8kNVHEFc2RQbDck03Z_y7FxUH-NsR0UuV-TKkcQ@mail.gmail.com \
--to="andrew..."@cl.cam.ac.uk \
--cc="HomotopyT..."@googlegroups.com \
--cc="shu..."@sandiego.edu \
/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).