Discussion of Homotopy Type Theory and Univalent Foundations
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From: Richard Williamson <rwilliamson62@gmail.com>
To: streicher@mathematik.tu-darmstadt.de
Cc: "Steve Awodey" <awodey@cmu.edu>,
	"Michael Shulman" <shulman@sandiego.edu>,
	"\"Anders Mörtberg\"" <andersmortberg@gmail.com>,
	"Homotopy Type Theory" <homotopytypetheory@googlegroups.com>
Subject: Re: [HoTT] A unifying cartesian cubical type theory
Date: Sat, 16 Feb 2019 22:58:13 +0100	[thread overview]
Message-ID: <20190216215813.GA1514@richard.richard> (raw)
In-Reply-To: <4d63c003926b2c19e530c107c5b141cd.squirrel@webmail.mathematik.tu-darmstadt.de>

> Unfortunately, we don't know when minimal and test model structure concide.

Maybe one can expect them never to coincide, by the following loose
reasoning: in between the minimal model structure and the test model
structure should lie something like an (infinity,1)-model structure,
i.e. something like a cubical version (in the chosen flavour) of a
quasi-categorical model structure, and one does not of course expect
the (infinity,1)-model structure to coincide with the test one. For
simplicial sets it is known of course that one has the
quasi-categorical model structure strictly lying in between the
minimal one and the test one.

Best wishes,

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  parent reply	other threads:[~2019-02-16 21:58 UTC|newest]

Thread overview: 18+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2019-02-14 19:04 Anders Mortberg
2019-02-14 20:06 ` Andrew Pitts
2019-02-15 15:38   ` Anders Mörtberg
2019-02-15  8:16 ` Bas Spitters
2019-02-15 16:32   ` Anders Mörtberg
2019-02-16  0:01     ` Michael Shulman
2019-02-16  0:14       ` Steve Awodey
2019-02-16 12:30         ` streicher
2019-02-16 19:51           ` Thomas Streicher
2019-02-16 22:27             ` Steve Awodey
2019-02-17  9:43               ` Thomas Streicher
2019-02-17 14:14                 ` Licata, Dan
2019-02-16 21:58           ` Richard Williamson [this message]
2019-02-17  9:15             ` Thomas Streicher
2019-02-17 13:49               ` Richard Williamson
2019-02-18 14:05 ` [HoTT] " Andrew Swan
2019-02-18 15:31   ` Anders Mörtberg
2019-06-16 16:04     ` Anders Mörtberg

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