From: Urs Schreiber <urs.schreiber@googlemail.com>
To: Andrew Salch <asalch@math.jhu.edu>, categories@mta.ca
Subject: Re: categories fibered in small categories
Date: Mon, 8 Jun 2009 07:13:41 +0200 [thread overview]
Message-ID: <E1MDiPi-0007iO-Nq@mailserv.mta.ca> (raw)
On Sun, Jun 7, 2009 at 1:37 AM, Andrew Salch<asalch@math.jhu.edu> wrote:
> it is well-known (and proven
> e.g. in Hollander's PhD thesis) that categories
> fibered in groupoids over a small category C
> are equivalent to lax presheaves of groupoids on C.
[...]
>I suspect there is some vast generalization of
> this, e.g. with the word "groupoids" replaced by
> "quasicategories" or something of that nature,
> which somebody has already proven, and in that
> case I would prefer to cite the more general result.
> Does anyone know if something like this is already
> in the literature?
Yes, see section 3.3.2 of Jacob Lurie's "Higher Topos Theory" for the
statement for "quasicategory valued presheaves".
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next reply other threads:[~2009-06-08 5:13 UTC|newest]
Thread overview: 2+ messages / expand[flat|nested] mbox.gz Atom feed top
2009-06-08 5:13 Urs Schreiber [this message]
-- strict thread matches above, loose matches on Subject: below --
2009-06-06 23:37 Andrew Salch
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