Discussion of Homotopy Type Theory and Univalent Foundations
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From: Richard Williamson <rwilli...@gmail.com>
To: Steve Awodey <awo...@cmu.edu>
Cc: Thierry Coquand <Thierry...@cse.gu.se>,
	Homotopy Theory <homotopyt...@googlegroups.com>
Subject: Re: [HoTT] Quillen model structure
Date: Thu, 14 Jun 2018 22:15:03 +0200	[thread overview]
Message-ID: <20180614201503.GA1968@richard.richard> (raw)
In-Reply-To: <54A8E26C-ECF8-441A-AC3F-7643DA47C3FE@cmu.edu>

Dear Steve and Thierry,

> I believe the answer to (1) is yes : - )

Hehe, that is very likely, and I will be happy to acknowledge it!
:-)

> Where exactly this conflicts with a Cisinski style approach is
> a distinct issue, I think — maybe that’s your (2)?

Exactly. It has been a little while since I was really working on
this stuff, so I could be forgetting something, but as far as I
know the test model structure on cartesian cubical sets is
exactly the one coming from the theorem of Cisinski that Thierry
cites using the obvious cylinder, and with empty S. Now, Thierry
also says, I believe, that this model structure is the same as
the one of Christian Sattler. How can this be?!

Presumably I have something wrong, but I do not see yet what it
is after the replies so far.

Best wishes,
Richard

  reply	other threads:[~2018-06-14 20:15 UTC|newest]

Thread overview: 21+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2018-06-10 13:31 Thierry Coquand
     [not found] ` <CABLJ2vLi2ePKwf+Zha9Gx1jFgqJo9j2W0PsTctBZvf7F-xThHA@mail.gmail.com>
2018-06-11  8:46   ` [HoTT] " Thierry Coquand
2018-06-13 20:33 ` Michael Shulman
2018-06-13 20:50   ` Steve Awodey
2018-06-13 22:00     ` Michael Shulman
2018-06-14  9:28       ` Steve Awodey
2018-06-14  9:48         ` Bas Spitters
2018-06-14  9:58         ` Christian Sattler
2018-06-14 10:27           ` Steve Awodey
2018-06-14 13:44             ` Steve Awodey
2018-06-14 14:52               ` Christian Sattler
2018-06-14 15:42                 ` Steve Awodey
2018-06-14 15:47               ` Michael Shulman
2018-06-14 16:01                 ` Steve Awodey
2018-06-14 18:39 ` Richard Williamson
2018-06-14 19:14   ` Steve Awodey
2018-06-14 20:15     ` Richard Williamson [this message]
2018-06-14 20:32       ` Ulrik Buchholtz
2018-06-14 21:07       ` Richard Williamson
2018-06-14 19:16   ` Thierry Coquand
2018-06-14 19:35   ` [HoTT] Quillen model structure, PS Thierry Coquand

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