Discussion of Homotopy Type Theory and Univalent Foundations
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From: Ali Caglayan <alizter@gmail.com>
To: Homotopy Type Theory <HomotopyTypeTheory@googlegroups.com>
Subject: [HoTT] Re: Does (co)homology detect inhabitation?
Date: Tue, 4 Dec 2018 14:33:53 -0800 (PST)	[thread overview]
Message-ID: <23d2a68e-3428-4ce0-bb9c-7fd921406022@googlegroups.com> (raw)
In-Reply-To: <CAOvivQwZnc0_LFFXTFqfVabBWE0tARLDd929rF4z3Gei1VRZtg@mail.gmail.com>


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Can it be done with excluded middle?

On Tuesday, 27 November 2018 22:22:30 UTC, Michael Shulman wrote:
>
> Suppose I have an (unpointed) type X such that (unreduced) H_n(X) or 
> H^n(X) is nonzero for some n.  In the application I have in mind, this 
> group is nonzero in a very strong sense, e.g. it has the integers as a 
> direct summand.  Can I conclude (without using excluded middle) that 
> ||X||? 
>

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  parent reply	other threads:[~2018-12-04 22:33 UTC|newest]

Thread overview: 5+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2018-11-27 22:22 [HoTT] " Michael Shulman
2018-11-30  5:20 ` [HoTT] " Felix Wellen
2018-11-30 21:54 ` Felix Wellen
2018-12-04 22:33 ` Ali Caglayan [this message]
2018-12-04 23:15   ` Michael Shulman

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