From: David Roberts <droberts.65537@gmail.com>
To: "categories@mta.ca list" <categories@mta.ca>
Subject: Cartesian morphism ~~> fibration
Date: Wed, 20 Sep 2017 20:53:06 +0930 [thread overview]
Message-ID: <E1duiWY-00054M-OJ@mlist.mta.ca> (raw)
Dear all,
I'm trying to find a reference for the following result, if indeed it is
true.
Let X1->B and X2->B be fibrations and F:X1->X2 a cartesian functor over B.
Then F factors on the nose as X1 -> X1' -> X2 (as functors over B) such
that X1->X1' is an equivalence and X1'->X2 is a fibration.
I know it is true if X1 and X2 are fibred in groupoids, this construction
is in the Stacks Project. But the general case?
Thanks,
David
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next reply other threads:[~2017-09-20 11:23 UTC|newest]
Thread overview: 5+ messages / expand[flat|nested] mbox.gz Atom feed top
2017-09-20 11:23 David Roberts [this message]
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
[not found] <CAFL+ZM87_oCKWjnyGcf3KqWzwoKxxf-9YDAHzzx8tV_wisoqyQ@mail.gmail.com>
2017-09-21 9:46 ` Thomas Streicher
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