Discussion of Homotopy Type Theory and Univalent Foundations
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From: Brian Sanderson <brianjsanderson@gmail.com>
To: Homotopy Type Theory <HomotopyTypeTheory@googlegroups.com>
Subject: [HoTT] Homotopy type of simply connected spaces.
Date: Thu, 10 Jan 2019 12:36:35 -0800 (PST)	[thread overview]
Message-ID: <fd7763e9-4110-4933-9638-683aa4b83a85@googlegroups.com> (raw)

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The type of a simply connected space would seem to make it just a set as 
any two paths with the same endpoints would be homotopic. I see that there 
would not be a continuous function from the space of pairs of paths to 
homotopies between them. What would the type of a simply connected space 
look like? Can I say in type theory any two equalities are equal without 
having a function?

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             reply	other threads:[~2019-01-10 20:36 UTC|newest]

Thread overview: 4+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2019-01-10 20:36 Brian Sanderson [this message]
2019-01-10 21:11 ` Michael Shulman
2019-01-11 11:49   ` Brian Sanderson
2019-01-11 12:01     ` Cory Knapp

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