Discussion of Homotopy Type Theory and Univalent Foundations
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From: Nicolai Kraus <nicolai.kraus@gmail.com>
To: Homotopy Type Theory <HomotopyTypeTheory@googlegroups.com>
Subject: Re: [HoTT] Looking for a reference that HITs are a strict extension of HoTT
Date: Fri, 7 Sep 2018 03:30:02 -0700 (PDT)	[thread overview]
Message-ID: <7d8ffaa2-a7c0-43b1-82c3-b1328672c558@googlegroups.com> (raw)
In-Reply-To: <6d798e22-3850-c667-6df2-c3ca1d11241d@gmail.com>


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The addition from my second email didn't make sense, sorry. The first email 
with the easy argument should be correct.
Nicolai 

On Friday, September 7, 2018 at 7:30:23 AM UTC+1, Nicolai Kraus wrote:
>
> Small addition to my first remark:
>
> On 07/09/18 07:14, Nicolai Kraus wrote:
>
> Remarks: 1. If we knew that S^2 is not a k-type for any k, then this would 
> work as well for the second step, but as you said, we don't know so far 
> whether this can be shown in HoTT. 
>
>
> Since we don't need an internal argument, it should be possible to use S^2 
> together with Thierry's result in Christian's post
> https://groups.google.com/forum/#!topic/homotopytypetheory/imPb56IqxOI
> But this is only for CCHM type theory.
> Nicolai
>

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  reply	other threads:[~2018-09-07 10:30 UTC|newest]

Thread overview: 5+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2018-09-07  3:56 Jasper Hugunin
2018-09-07  6:14 ` Nicolai Kraus
2018-09-07  6:30   ` Nicolai Kraus
2018-09-07 10:30     ` Nicolai Kraus [this message]
2018-09-07 12:38 ` Thorsten Altenkirch

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