Discussion of Homotopy Type Theory and Univalent Foundations
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From: "José Manuel Rodriguez Caballero" <josephcmac@gmail.com>
To: HomotopyTypeTheory@googlegroups.com
Subject: [HoTT] Hopf fibrations and computer science
Date: Sun, 18 Nov 2018 08:51:49 -0500	[thread overview]
Message-ID: <CAA8xVUjcQFYAQwS3g2HOP125Pvbo_MnOnujqWy4wj0w1V-z=OA@mail.gmail.com> (raw)
In-Reply-To: <CAEXhy3P8HzVPGUBxpEBtSnCJwVwpNvQjtsQkVJDVCLwFy8zkQg@mail.gmail.com>

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Hello,
  During the min 8 of the following video

https://www.youtube.com/watch?v=3-E1SdSMipE

the mathematician Prof. Eric Weinstein (Harvard) claimed that the Hopf
fibrations is the most important object in the universe. According to the
principle

types (in the sense of type theory) = homotopy types (in the sense of
topology)

the Hopf fibrations are a type in the sense of type theory. My question is:
What does this type means from the point of view of computer science? Are
there some possible concrete applications of Hopf fibrations to proof
assistants and programming languages via HoTT?

Kind Regards,
José M.

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      reply	other threads:[~2018-11-18 13:52 UTC|newest]

Thread overview: 2+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2018-11-16 10:21 [HoTT] fully funded graduate positions in mathematics at Western Chris Kapulkin
2018-11-18 13:51 ` José Manuel Rodriguez Caballero [this message]

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