Homotopy Theory of Diagrams is popular PDF and ePub book, written by Wojciech Chachólski in 2002, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Homotopy Theory of Diagrams can be Read Online from any device for your convenience.
Homotopy Theory of Diagrams Book PDF Summary
In this paper the authors develop homotopy theoretical methods for studying diagrams. In particular they explain how to construct homotopy colimits and limits in an arbitrary model category. The key concept introduced is that of a model approximation. A model approximation of a category $\mathcal{C}$ with a given class of weak equivalences is a model category $\mathcal{M}$ together with a pair of adjoint functors $\mathcal{M} \rightleftarrows \mathcal{C}$ which satisfy certain properties. The key result says that if $\mathcal{C}$ admits a model approximation then so does the functor category $Fun(I, \mathcal{C})$.
Detail Book of Homotopy Theory of Diagrams PDF
- Author : Wojciech Chachólski
- Release : 20 September 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821827598
- Genre : Mathematics
- Total Page : 106 pages
- Language : English
- PDF File Size : 9,8 Mb
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