From: "'Martin Escardo' via Homotopy Type Theory" <HomotopyTypeTheory@googlegroups.com>
To: Ali Caglayan <alizter@gmail.com>,
Homotopy Type Theory <HomotopyTypeTheory@googlegroups.com>
Subject: Re: [HoTT] All (∞,1)-toposes have strict univalent universes
Date: Wed, 17 Apr 2019 23:59:38 +0100 [thread overview]
Message-ID: <7724b923-fc14-0bd2-57b6-ba341f5641bd@googlemail.com> (raw)
In-Reply-To: <655fcacc-0d88-47f7-bcf6-3a0e27ea10fd@googlegroups.com>
On 16/04/2019 13:06, Ali Caglayan wrote:
> Mike has released this new preprint on the arXiv:
>
> All (∞,1)-toposes have strict univalent universes
> <https://arxiv.org/abs/1904.07004>
>
> Quoting the abstract:
>
> Thus, homotopy type theory can be used as a formal language for
> reasoning internally to (∞, 1)-toposes, just as higher-order logic is
> used for 1-toposes.
This is awesome.
Perhaps it deserves a short explanation (or at least listing) of the
crucial steps gere in this list.
Best,
Martin
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next prev parent reply other threads:[~2019-04-17 22:59 UTC|newest]
Thread overview: 5+ messages / expand[flat|nested] mbox.gz Atom feed top
2019-04-16 12:06 Ali Caglayan
2019-04-17 22:59 ` 'Martin Escardo' via Homotopy Type Theory [this message]
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
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