From: Michael Shulman <shulman@sandiego.edu>
To: Urs Schreiber <urs.schreiber@googlemail.com>
Cc: Homotopy Type Theory <HomotopyTypeTheory@googlegroups.com>
Subject: Re: [HoTT] What is knot in HOTT?
Date: Fri, 20 Jul 2018 06:32:10 -0700 [thread overview]
Message-ID: <CAOvivQyQtpR9jKOzwoDM=rDjx7XrJ6BKRvLZAX7On628c=hdWw@mail.gmail.com> (raw)
In-Reply-To: <CA+KbugetwD6XckDi3TnULMHsf9K_w0=07DTXCBfd7V+2pgdjNQ@mail.gmail.com>
On Fri, Jul 20, 2018 at 3:27 AM, 'Urs Schreiber' via Homotopy Type
Theory <HomotopyTypeTheory@googlegroups.com> wrote:
> Indeed, the main problem
> from this angle seems to be to axiomatize the generic manifold types
> Sigma and X to behave enough like S^1 and S^3 such that one can draw
> usual conclusions.
Once we have the "smooth real numbers", wouldn't we just define S^1
and S^3 in terms of them as usual? Or are you saying that the problem
is in characterizing the smooth reals inside differential cohesion?
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next prev parent reply other threads:[~2018-07-20 13:32 UTC|newest]
Thread overview: 16+ messages / expand[flat|nested] mbox.gz Atom feed top
2018-07-19 5:18 José Manuel Rodriguez Caballero
2018-07-19 5:45 ` Egbert Rijke
2018-07-19 8:55 ` Ali Caglayan
2018-07-19 15:31 ` Michael Shulman
2018-07-20 10:27 ` 'Urs Schreiber' via Homotopy Type Theory
2018-07-20 13:32 ` Michael Shulman [this message]
2018-07-20 13:45 ` 'Urs Schreiber' via Homotopy Type Theory
2018-07-20 14:54 ` Michael Shulman
2018-07-20 15:17 ` Joyal, André
2018-07-20 16:40 ` 'Urs Schreiber' via Homotopy Type Theory
2018-07-20 16:42 ` 'Urs Schreiber' via Homotopy Type Theory
2019-11-20 19:13 ` Ali Caglayan
2019-11-20 21:02 ` andré hirschowitz
2018-07-19 17:56 ` Daniel R. Grayson
2018-07-19 18:38 ` Egbert Rijke
2018-07-19 20:07 ` José Manuel Rodriguez Caballero
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