Birational Geometry and Moduli Spaces by Elisabetta Colombo & Barbara Fantechi & Paola Frediani & Donatella Iacono & Rita Pardini

Author:Elisabetta Colombo & Barbara Fantechi & Paola Frediani & Donatella Iacono & Rita Pardini
Language: eng
Format: epub
ISBN: 9783030371142
Publisher: Springer International Publishing

2.The latching object of X at a is .

There are natural morphisms L aX→X and X→M aX.

The main use of Reedy categories originates from the following theorem: the category of diagrams in a model category indexed by a Reedy category has a model category structure.

Theorem 5 (Reedy-Kan)

Let be a Reedy category, and M a model category. There is a model structure on where a map f : X→Y  is: 1.a weak equivalence iff X i→Y i is a weak equivalence for all ;

2.a fibration iff is a fibration for all ;

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