From: Peter LeFanu Lumsdaine <p.l.lu...@gmail.com>
To: Thomas Streicher <stre...@mathematik.tu-darmstadt.de>
Cc: Michael Shulman <shu...@sandiego.edu>,
"HomotopyT...@googlegroups.com" <homotopyt...@googlegroups.com>
Subject: Re: [HoTT] Categories with 2-families
Date: Wed, 7 Mar 2018 21:39:01 +0100 [thread overview]
Message-ID: <CAAkwb-kBBk3=Lzmb-sn47N8mtXZUe6Y=3pQChFcnYXP=d2pdRg@mail.gmail.com> (raw)
In-Reply-To: <20180307203003.GA11083@mathematik.tu-darmstadt.de>
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On Wed, Mar 7, 2018 at 9:30 PM, Thomas Streicher <
stre...@mathematik.tu-darmstadt.de> wrote:
> But if you specialize the interpretation of type theory in
> comprehension categories to discrete ones you wan't be able to
> interpret terms (since the latter are interpreted as morphism in the
> fibers, namely as sections).
To clarify, by “discrete comprehension categories” I mean the ones Mike was
talking about, i.e. where the fibration of types is a discrete fibration; I
don’t mean that the base category is discrete. So there’s no problem here
— terms are still interpreted as sections of dependent projections, just as
usual.
–p.
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next prev parent reply other threads:[~2018-03-07 20:39 UTC|newest]
Thread overview: 9+ messages / expand[flat|nested] mbox.gz Atom feed top
2018-03-05 21:29 Michael Shulman
2018-03-07 17:09 ` [HoTT] " Thomas Streicher
2018-03-07 20:15 ` Peter LeFanu Lumsdaine
2018-03-07 20:30 ` Thomas Streicher
2018-03-07 20:39 ` Peter LeFanu Lumsdaine [this message]
2018-03-07 21:01 ` Thomas Streicher
2018-03-07 22:16 ` Peter LeFanu Lumsdaine
2018-03-08 10:11 ` Thomas Streicher
2018-03-07 21:20 ` Michael Shulman
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