From: Felix Wellen <felix.wellen@gmail.com>
To: Homotopy Type Theory <HomotopyTypeTheory@googlegroups.com>
Subject: [HoTT] Re: Does (co)homology detect inhabitation?
Date: Fri, 30 Nov 2018 13:54:14 -0800 (PST) [thread overview]
Message-ID: <50d9074d-b7e4-4cfd-8eef-ab40efa3a2ca@googlegroups.com> (raw)
In-Reply-To: <CAOvivQwZnc0_LFFXTFqfVabBWE0tARLDd929rF4z3Gei1VRZtg@mail.gmail.com>
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Thierry caught a mistake in my answer, so both my counterexamples actually
don't work at least for the strong requirement that Z is factor.
The problem is, that the cohomology classes/maps P->Z I use are not
different over Q.
Am Dienstag, 27. November 2018 17:22:30 UTC-5 schrieb Michael Shulman:
>
> 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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next prev parent reply other threads:[~2018-11-30 21:54 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 [this message]
2018-12-04 22:33 ` Ali Caglayan
2018-12-04 23:15 ` Michael Shulman
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