From: Gaucher Philippe <Philippe.Gaucher@pps.jussieu.fr>
To: categories@mta.ca
Subject: Grothendieck construction
Date: Tue, 16 Jan 2007 15:17:02 +0100 [thread overview]
Message-ID: <37875.0996817418$1241019387@news.gmane.org> (raw)
Dear All,
Where does the Grothendieck construction come from ? What is the original
reference ? Here is the construction.
Take a functor H:I-->Cat (the category of small categories)
The objects are the pairs (i,a) where a is an object of H(i).
A morphism (i,a)-->(j,b) consists of a morphism f:i-->j of I and a morphism
H(f)(a)-->b of H(j).
pg.
next reply other threads:[~2007-01-16 14:17 UTC|newest]
Thread overview: 6+ messages / expand[flat|nested] mbox.gz Atom feed top
2007-01-16 14:17 Gaucher Philippe [this message]
2007-01-17 1:23 wlawvere
2007-01-17 8:47 Artur Zawlocki
2007-01-18 19:50 I. Moerdijk
2007-01-19 18:44 David Espinosa
2017-03-13 21:40 Grothendieck Construction Joseph Moeller
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