Discussion of Homotopy Type Theory and Univalent Foundations
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From: Juan Ospina <jospina65@gmail.com>
To: Homotopy Type Theory <HomotopyTypeTheory@googlegroups.com>
Subject: [HoTT] Characteristic Classes for Types
Date: Thu, 27 Sep 2018 06:10:09 -0700 (PDT)	[thread overview]
Message-ID: <91b60f0a-e5e3-4216-a422-9b52bb8a4cc7@googlegroups.com> (raw)


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Recently, there was a post about the Euler characteristic of a type and 
other post about Hodge structure of a type.  Then my questions are:

1) It is possible to construct characteristic classes  (Wu, 
Stiefel-Whitney, Chern, Pontryagin classes)    for an arbitrary type in 
HoTT?

2) It is possible to construct singular cohomology for a type and the 
corresponding Steenrod operations?

3) It is possible to construct an Aityah-Singer index theorem for an 
arbitrary type (a type fibered with other type).

4) It is possible to construct integrality theores for the characteristic 
numbers of an arbitrary fibered type?


Many thanks.

Juan Ospina
Medellín,  Colombia


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             reply	other threads:[~2018-09-27 13:10 UTC|newest]

Thread overview: 12+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2018-09-27 13:10 Juan Ospina [this message]
2018-09-28  0:38 ` [HoTT] " Ali Caglayan
2018-09-28  1:00   ` Juan Ospina
2018-09-28  1:04   ` Juan Ospina
2018-09-28  2:51   ` Michael Shulman
2018-09-28  5:59 ` [HoTT] the weak infinite groupoid in Simple Type Theory José Manuel Rodriguez Caballero
2018-09-28 19:21   ` Michael Shulman
2018-09-28 20:27     ` José Manuel Rodriguez Caballero
2018-10-01 14:43       ` Michael Shulman
2018-10-01 14:53         ` Steve Awodey
2018-10-01 23:14           ` José Manuel Rodriguez Caballero
2018-10-02 16:20             ` Michael Shulman

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