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Record Nr. |
UNINA9910820405703321 |
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Autore |
Chachólski Wojciech <1968-> |
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Titolo |
Homotopy theory of diagrams / / Wojciech Chachólski, Jérôme Scherer |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2002] |
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©2002 |
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ISBN |
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Descrizione fisica |
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1 online resource (106 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 736 |
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Disciplina |
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Soggetti |
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Homotopy theory |
Categories (Mathematics) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (pages 87-88) and index. |
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Nota di contenuto |
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""Contents""; ""Introduction""; ""Chapter I. Model approximations and bounded diagrams""; ""1. Notation""; ""2. Model categories""; ""3. Left derived functors""; ""4. Left derived functors of colimits and left Kan extensions""; ""5. Model approximations""; ""6. Spaces and small categories""; ""7. The pull-back process and local properties""; ""8. Colimits of diagrams indexed by spaces""; ""9. Left Kan extensions""; ""10. Bounded diagrams""; ""Chapter II. Homotopy theory of diagrams""; ""11. Statements of the main results""; ""12. Cofibrations""; ""13. Fun[sup(b)](K,M) as a model category"" |
""28. Diagrams indexed by cones II""""30. Cofinality""; ""31. Homotopy limits""; ""Appendix A. Left Kan extensions preserve boundedness""; ""32. Degeneracy Map""; ""33. Bounded diagrams and left Kan extensions""; ""Appendix B. Categorical Preliminaries""; ""34. Categories over and under an object""; ""35. Relative version of categories over and under an object""; ""36. Pull-back process and Kan extensions""; ""37. Cofinality for colimits""; ""38. Grothendieck construction""; ""39. Grothendieck construction & the pull-back process""; ""40. Functors indexed by Grothendieck constructions"" |
""Bibliography""""Index""; ""A""; ""B""; ""C""; ""D""; ""F""; ""G""; ""H""; ""I""; ""K""; ""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""W"" |
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