From: Thomas Streicher <streicher@mathematik.tu-darmstadt.de>
To: David Roberts <droberts.65537@gmail.com>
Cc: "categories@mta.ca list" <categories@mta.ca>
Subject: Re: Cartesian morphism ~~> fibration
Date: Thu, 21 Sep 2017 11:46:59 +0200 [thread overview]
Message-ID: <E1dv2C5-0001Rb-Mm@mlist.mta.ca> (raw)
In-Reply-To: <CAFL+ZM87_oCKWjnyGcf3KqWzwoKxxf-9YDAHzzx8tV_wisoqyQ@mail.gmail.com>
> So I guess this extends your example where the codomain is a discrete
> fibration, merely having to replace the domain by an equivalent category.
> This makes the original cartesian functor a Street fibration, I believe.
Indeed every functor F between groupoids is a Street fibration and thus
equivalent to a Grothendieck fibration in the sense that there is a
fibarion P and an equivalence E such that F = PE.
Interesting that this extends to fibered functors!
Thomas
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next parent reply other threads:[~2017-09-21 9:46 UTC|newest]
Thread overview: 5+ messages / expand[flat|nested] mbox.gz Atom feed top
[not found] <CAFL+ZM87_oCKWjnyGcf3KqWzwoKxxf-9YDAHzzx8tV_wisoqyQ@mail.gmail.com>
2017-09-21 9:46 ` Thomas Streicher [this message]
2017-09-20 11:23 David Roberts
2017-09-20 17:49 ` Thomas Streicher
[not found] ` <20170920174906.GE8154@mathematik.tu-darmstadt.de>
2017-09-20 22:11 ` David Roberts
[not found] ` <20170921094659.GB10551@mathematik.tu-darmstadt.de>
2017-09-21 10:22 ` David Roberts
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