From: Michael Shulman <shulman@sandiego.edu>
To: homotopytypetheory@googlegroups.com
Subject: [HoTT] Does (co)homology detect inhabitation?
Date: Tue, 27 Nov 2018 14:22:17 -0800 [thread overview]
Message-ID: <CAOvivQwZnc0_LFFXTFqfVabBWE0tARLDd929rF4z3Gei1VRZtg@mail.gmail.com> (raw)
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 reply other threads:[~2018-11-27 22:22 UTC|newest]
Thread overview: 5+ messages / expand[flat|nested] mbox.gz Atom feed top
2018-11-27 22:22 Michael Shulman [this message]
2018-11-30 5:20 ` [HoTT] " Felix Wellen
2018-11-30 21:54 ` Felix Wellen
2018-12-04 22:33 ` Ali Caglayan
2018-12-04 23:15 ` Michael Shulman
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