Discussion of Homotopy Type Theory and Univalent Foundations
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From: kristian.alfsvag@uib.no
To: Homotopy Type Theory <HomotopyTypeTheory@googlegroups.com>
Subject: [HoTT] 1-Types are groupoids
Date: Wed, 20 Feb 2019 03:08:34 -0800 (PST)	[thread overview]
Message-ID: <591a0ad8-cafb-41a2-8353-c8e389c64a32@googlegroups.com> (raw)


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Hi

I was wondering whether there exists a proof in literature that the type of 
1-truncated types is equivalent to the type of groupoids (defined as 
categories with only isomorphisms, for example).

I.e. a truncated version of the "types as infinity categories" viewpoint.

Thanks in advance,
Kristian Alfsvåg

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             reply	other threads:[~2019-02-20 11:08 UTC|newest]

Thread overview: 3+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2019-02-20 11:08 kristian.alfsvag [this message]
2019-02-20 11:48 ` Michael Shulman
2019-02-20 12:05   ` Niels van der Weide

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