From: Michael Shulman <shulman@sandiego.edu>
To: Thomas Streicher <streicher@mathematik.tu-darmstadt.de>
Cc: Martin Escardo <escardo.martin@googlemail.com>,
Homotopy Type Theory <HomotopyTypeTheory@googlegroups.com>
Subject: Re: [HoTT] All (???,1)-toposes have strict univalent universes
Date: Thu, 18 Apr 2019 03:16:58 -0700 [thread overview]
Message-ID: <CAOvivQxJdee5in_dWptb+a9ZhNu65T-7t+2zQG3PU1C2HGCJ7Q@mail.gmail.com> (raw)
In-Reply-To: <20190418100928.GB24001@mathematik.tu-darmstadt.de>
Right, I would say that interpreting in a representing model structure
is the limit of current technology. Maybe one day we'll be able to
interpret directly in an infinity-topos, but not yet.
On Thu, Apr 18, 2019 at 3:09 AM Thomas Streicher
<streicher@mathematik.tu-darmstadt.de> wrote:
>
> I only had a rough glance at your paper. But as it seems you don't
> interpret directly in the infty toposes but rather in some
> representing model structure.
> No complaint because I don't expect otherwise.
>
> In any case it is quite an achievement to get universes "strongly `a
> la Tarski".
>
> Thomas
>
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prev parent reply other threads:[~2019-04-18 10:17 UTC|newest]
Thread overview: 5+ messages / expand[flat|nested] mbox.gz Atom feed top
2019-04-16 12:06 [HoTT] All (∞,1)-toposes " Ali Caglayan
2019-04-17 22:59 ` 'Martin Escardo' via Homotopy Type Theory
2019-04-17 23:44 ` Michael Shulman
2019-04-18 10:09 ` [HoTT] All (???,1)-toposes " Thomas Streicher
2019-04-18 10:16 ` Michael Shulman [this message]
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