From: Ali Caglayan <alizter@gmail.com>
To: Homotopy Type Theory <HomotopyTypeTheory@googlegroups.com>
Subject: Re: [HoTT] Euler characteristic of a type
Date: Mon, 17 Sep 2018 16:07:02 -0700 (PDT) [thread overview]
Message-ID: <811a924d-8ffa-4fa0-b0e1-b5bd379c8917@googlegroups.com> (raw)
In-Reply-To: <CAAwvomnDbFQZYXtoysPNR46g4QsKrHmrppQo9CRSXHKgsC4hHw@mail.gmail.com>
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This would be some subuniverse of "compact" spaces I assume.
On Monday, 17 September 2018 23:37:03 UTC+1, Floris van Doorn wrote:
>
> Clearly we cannot define E on the whole universe, but only on a
> subuniverse.
> For example, we could define it on the subuniverse of types with finitely
> generated homology groups. For the Euler characteristic we will also need
> that the betti numbers are eventually 0. Other than that, I agree that
> these properties should hold in HoTT.
>
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next prev parent reply other threads:[~2018-09-17 23:07 UTC|newest]
Thread overview: 9+ messages / expand[flat|nested] mbox.gz Atom feed top
2018-09-17 19:11 Ali Caglayan
2018-09-17 22:36 ` Floris van Doorn
2018-09-17 23:07 ` Ali Caglayan [this message]
2018-09-18 6:25 ` Michael Shulman
2018-09-18 10:54 ` Ali Caglayan
2018-09-18 16:13 ` Michael Shulman
2018-09-18 19:11 ` Ali Caglayan
2018-09-19 0:04 ` Ali Caglayan
2018-09-19 3:52 ` Michael Shulman
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