000			02182nam a22001937a 4500
003			OSt
005			20240923164855.0
008			190222b ||||| |||| 00| 0 eng d
020			_a9780821849170
040			_cEducational Supplies _aICTS-TIFR
050			_aQA169
100			_aHirschhorn Philip S.
245			_a Model categories and their localizations
260			_aRhode Island: _bAmerican Mathematical Society, _c[c2003]
300			_a457 p
505			_aPart 1 . Localization of model category structures 1. Local spaces and localization 2. The localization model category for spaces 3. Localization of model categories 4. Existence of left Bousfield localizations 5. Existence of right Bousfield localizations 6. Fiberwise localization Part 2. Homotopy theory in model categories 7. Model categories 8. Fibrant and cofibrant approximations 9. Simplicial model categories 10. Ordinals, cardinals, and transfinite composition 11. Cofibrantly generated model categories 12. Cellular model categories 13. Proper model categories 14. The classifying space of a small category 15. The reedy model category structure 16. Cosimplicial and simplicial resolutions 17. Homotopy function complexes 18. Homotopy limits in simplicial model categories 19. Homotopy limits in general model categories
520			_aThe aim of this book is to explain modern homotopy theory in a manner accessible to graduate students yet structured so that experts can skip over numerous linear developments to quickly reach the topics of their interest. Homotopy theory arises from choosing a class of maps, called weak equivalences, and then passing to the homotopy category by localizing with respect to the weak equivalences, i.e., by creating a new category in which the weak equivalences are isomorphisms. Quillen defined a model category to be a category together with a class of weak equivalences and additional structure useful for describing the homotopy category in terms of the original category. This allows you to make constructions analogous to those used to study the homotopy theory of topological spaces.--- summary provided by publisher
942			_2lcc _cBK
999			_c2363 _d2363