Discussion of Homotopy Type Theory and Univalent Foundations
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* [HoTT] Homotopy type of simply connected spaces.
@ 2019-01-10 20:36 Brian Sanderson
  2019-01-10 21:11 ` Michael Shulman
  0 siblings, 1 reply; 4+ messages in thread
From: Brian Sanderson @ 2019-01-10 20:36 UTC (permalink / raw)
  To: Homotopy Type Theory

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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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2019-01-10 20:36 [HoTT] Homotopy type of simply connected spaces Brian Sanderson
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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