From: Michael Shulman <shu...@sandiego.edu>
To: Andrew Pitts <Andrew...@cl.cam.ac.uk>
Cc: "HomotopyT...@googlegroups.com" <HomotopyT...@googlegroups.com>
Subject: Re: [HoTT] univalence without coherent equivalences
Date: Mon, 14 Aug 2017 02:32:52 -0700 [thread overview]
Message-ID: <CAOvivQzpOsiK2KzXY6MhjHJwpk0a+gRsxSa5BbCNE4D7PhV3JQ@mail.gmail.com> (raw)
In-Reply-To: <CAK4K4j2P8AR42ZsvnhVw4eBUuWF1BZhpHqiBmZkqKqx34Es6yA@mail.gmail.com>
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)?
next prev parent reply other threads:[~2017-08-14 9:33 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 [this message]
2017-08-14 9:36 ` Andrew Pitts
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