Quillen closed model structures for sheaves
نویسندگان
چکیده
منابع مشابه
Quillen Model Structures for Relative Homological Algebra
An important example of a model category is the category of unbounded chain complexes of R-modules, which has as its homotopy category the derived category of the ring R. This example shows that traditional homological algebra is encompassed by Quillen’s homotopical algebra. The goal of this paper is to show that more general forms of homological algebra also fit into Quillen’s framework. Speci...
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Quillen Model Categories
We provide a brief description of the mathematics that led to Daniel Quillen’s introduction of model categories, a summary of his seminal work “Homotopical algebra”, and a brief description of some of the developments in the field since.
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Closed model categories are a general framework introduced by Quillen [15] in which one can do homotopy theory. An alternative framework has been developed by Baues [2]. Putting a closed model structure on a category not only allows one to use techniques of homotopy theory to study it but also allows one to better understand the category through the concepts and constructions that come with the...
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A Quillen model structure on the category of orbifold groupoids is constructed. The fibrant objects for this category are the stacks groupoids and the homotopy category is the category of orbifolds.
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1995
ISSN: 0022-4049
DOI: 10.1016/0022-4049(94)00033-f