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UNINA9910811888703321 |
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Autore |
Hovey Mark <1965-> |
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Titolo |
Axiomatic stable homotopy theory / / Mark Hovey, John H. Palmieri, Neil P. Strickland |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [1997] |
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©1997 |
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ISBN |
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Descrizione fisica |
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1 online resource (130 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 610 |
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Disciplina |
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Soggetti |
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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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"July 1997, volume 128, number 610 (second of 4 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references (pages 109-111) and index. |
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Nota di contenuto |
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""Contents""; ""1. Introduction and definitions""; ""1.1. The axioms""; ""1.2. Examples""; ""1.3. Multigrading""; ""1.4. Some basic definitions and results""; ""2. Smallness, limits and constructibility""; ""2.1. Notions of finiteness""; ""2.2. Weak colimits and limits""; ""2.3. Cellular towers and constructibility""; ""3. Bousfield localization""; ""3.1. Localization and colocalization functors""; ""3.2. Existence of localization functors""; ""3.3. Smashing and finite localizations""; ""3.4. Geometric morphisms""; ""3.5. Properties of localized subcategories""; ""3.6. The Bousfield lattice"" |
""3.7. Rings, fields and minimal Bousfield classes""""3.8. Bousfield classes of smashing localizations""; ""4. Brown representability""; ""4.1. Brown categories""; ""4.2. Minimal weak colimits""; ""4.3. Smashing localizations of Brown categories""; ""4.4. A topology on [X, Y]""; ""5. Nilpotence and thick subcategories""; ""5.1. A naive nilpotence theorem""; ""5.2. A thick subcategory theorem""; ""6. Noetherian stable homotopy categories""; ""6.1. Monochromatic subcategories""; ""6.2. Thick subcategories""; ""6.3. Localizing subcategories""; ""7. Connective stable homotopy theory"" |
""8. Semisimple stable homotopy theory""""9. Examples of stable homotopy categories""; ""9.1. A general method""; ""9.2. Chain complexes""; ""9.3. he derived category of a ring""; ""9.4. Homotopy |
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categories of equivariant spectra""; ""9.5. Cochain complexes of B�comodules""; ""9.6. The stable category of B�modules""; ""10. Future directions""; ""10.1. Grading systems on stable homotopy categories""; ""10.2. Other examples""; ""Appendix A. Background from category theory""; ""A.1. Triangulated categories""; ""A.2. Closed symmetric monoidal categories""; ""References""; ""Index"" |
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