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An alpine anthology of homotopy theory : proceedings of the Second Arolla Conference on Algebraic Topology, August 24-29, 2004, Arolla, Switzerland / / Dominique Arlettaz, Kathryn Hess, editors
| An alpine anthology of homotopy theory : proceedings of the Second Arolla Conference on Algebraic Topology, August 24-29, 2004, Arolla, Switzerland / / Dominique Arlettaz, Kathryn Hess, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (228 p.) |
| Disciplina | 514/.24 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Homotopy theory
Algebraic topology |
| ISBN |
0-8218-7989-8
0-8218-5731-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""List of conference talks""; ""List of participants""; ""A note on the homology of â??n, the Schwartz genus, and solving polynomial equations""; ""A geometric construction of saturated fusion systems""; ""The orthogonal subcategory problem in homotopy theory""; ""Homotopy pull-back squares up to localization""; ""Traces and reduced group C*-algebras""; ""Integral cohomology of 2-local Hopf spaces with at most two non-trivial finite homotopy groups""; ""On the double suspension and the mod-p Moore space""; ""Rational extended Mackey functors for the circle group""
""On the topological cyclic homology of the algebraic closure of a local field""""Realizing Kasparov's KK-theory groups as the homotopy classes of maps of a Quillen model category""; ""Homology commutators and P1 actions"" |
| Record Nr. | UNINA-9910821754203321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
An Alpine expedition through algebraic topology : fourth Arolla Conference Algebraic Topology August 20-25, 2012 Arolla, Switzerland / / Christian Ausoni [and four others], editors
| An Alpine expedition through algebraic topology : fourth Arolla Conference Algebraic Topology August 20-25, 2012 Arolla, Switzerland / / Christian Ausoni [and four others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (296 p.) |
| Disciplina | 514/.2 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Homotopy theory
Algebraic topology |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-1685-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Preface""; ""List of Conference Talks""; ""Some properties of the Thom spectrum over loop suspension of complex projective space""; ""Introduction""; ""1. The Thom spectrum of ""; ""2. -(co)homology""; ""3. A formal group law over _{*}""; ""4. The splitting of into wedges of suspensions of ""; ""5. The real and the quaternionic cases""; ""6. Associative versus commutative orientations""; ""Acknowledgements""; ""References""; ""Rational equivariant rigidity""; ""Introduction""; ""1. Stable model categories and generators""; ""2. Morita theory for stable model categories""
""3. Rational G-spectra and their endomorphism category""""4. Rigidity for Finite and Profinite groups""; ""5. S1-equivariant rigidity""; ""6. Formality and Rigidity""; ""Acknowledgements""; ""References""; ""Homotopy colimits of model categories""; ""1. Introduction""; ""2. Preliminaries on complete Segal spaces""; ""3. Working example: Homotopy pushouts""; ""4. More general homotopy colimits""; ""References""; ""The cobordism category and Waldhausen�s -theory""; ""0. Introduction""; ""1. Abstract transversality""; ""2. Categories of embedded manifolds""; ""3. Simplicial spaces"" ""4. The Madsen-Weiss theorem as a relative h-principle""""Acknowledgement""; ""References""; ""Absolutely homotopy-cartesian squares""; ""1. Statements of Results and Conjectures""; ""2. Proof of Classification for Squares""; ""3. Partial results for Conjecture 1.3""; ""4. An Absolutely Cocartesian and Cartesian 3-cube""; ""5. Applications and Related Work""; ""References""; ""Koszul duality complexes for the cohomology of iterated loop spaces of spheres""; ""Introduction""; ""Background and general conventions""; ""1. Koszul duality and operadic homology"" ""2. Free complete algebras and duality"" |
| Record Nr. | UNINA-9910480252803321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
An Alpine expedition through algebraic topology : fourth Arolla Conference Algebraic Topology August 20-25, 2012 Arolla, Switzerland / / Christian Ausoni [and four others], editors
| An Alpine expedition through algebraic topology : fourth Arolla Conference Algebraic Topology August 20-25, 2012 Arolla, Switzerland / / Christian Ausoni [and four others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (296 p.) |
| Disciplina | 514/.2 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Homotopy theory
Algebraic topology |
| ISBN | 1-4704-1685-9 |
| Classificazione | 18A2518G1019Dxx19L4120D9955Nxx55Pxx55Uxx57R50 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- List of Conference Talks -- Some properties of the Thom spectrum over loop suspension of complex projective space -- Introduction -- 1. The Thom spectrum of -- 2. -(co)homology -- 3. A formal group law over _{*} -- 4. The splitting of into wedges of suspensions of -- 5. The real and the quaternionic cases -- 6. Associative versus commutative orientations -- Acknowledgements -- References -- Rational equivariant rigidity -- Introduction -- 1. Stable model categories and generators -- 2. Morita theory for stable model categories -- 3. Rational G-spectra and their endomorphism category -- 4. Rigidity for Finite and Profinite groups -- 5. S1-equivariant rigidity -- 6. Formality and Rigidity -- Acknowledgements -- References -- Homotopy colimits of model categories -- 1. Introduction -- 2. Preliminaries on complete Segal spaces -- 3. Working example: Homotopy pushouts -- 4. More general homotopy colimits -- References -- The cobordism category and Waldhausen's -theory -- 0. Introduction -- 1. Abstract transversality -- 2. Categories of embedded manifolds -- 3. Simplicial spaces -- 4. The Madsen-Weiss theorem as a relative h-principle -- Acknowledgement -- References -- Absolutely homotopy-cartesian squares -- 1. Statements of Results and Conjectures -- 2. Proof of Classification for Squares -- 3. Partial results for Conjecture 1.3 -- 4. An Absolutely Cocartesian and Cartesian 3-cube -- 5. Applications and Related Work -- References -- Koszul duality complexes for the cohomology of iterated loop spaces of spheres -- Introduction -- Background and general conventions -- 1. Koszul duality and operadic homology -- 2. Free complete algebras and duality. |
| Record Nr. | UNINA-9910788257103321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
An Alpine expedition through algebraic topology : fourth Arolla Conference Algebraic Topology August 20-25, 2012 Arolla, Switzerland / / Christian Ausoni [and four others], editors
| An Alpine expedition through algebraic topology : fourth Arolla Conference Algebraic Topology August 20-25, 2012 Arolla, Switzerland / / Christian Ausoni [and four others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (296 p.) |
| Disciplina | 514/.2 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Homotopy theory
Algebraic topology |
| ISBN | 1-4704-1685-9 |
| Classificazione | 18A2518G1019Dxx19L4120D9955Nxx55Pxx55Uxx57R50 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- List of Conference Talks -- Some properties of the Thom spectrum over loop suspension of complex projective space -- Introduction -- 1. The Thom spectrum of -- 2. -(co)homology -- 3. A formal group law over _{*} -- 4. The splitting of into wedges of suspensions of -- 5. The real and the quaternionic cases -- 6. Associative versus commutative orientations -- Acknowledgements -- References -- Rational equivariant rigidity -- Introduction -- 1. Stable model categories and generators -- 2. Morita theory for stable model categories -- 3. Rational G-spectra and their endomorphism category -- 4. Rigidity for Finite and Profinite groups -- 5. S1-equivariant rigidity -- 6. Formality and Rigidity -- Acknowledgements -- References -- Homotopy colimits of model categories -- 1. Introduction -- 2. Preliminaries on complete Segal spaces -- 3. Working example: Homotopy pushouts -- 4. More general homotopy colimits -- References -- The cobordism category and Waldhausen's -theory -- 0. Introduction -- 1. Abstract transversality -- 2. Categories of embedded manifolds -- 3. Simplicial spaces -- 4. The Madsen-Weiss theorem as a relative h-principle -- Acknowledgement -- References -- Absolutely homotopy-cartesian squares -- 1. Statements of Results and Conjectures -- 2. Proof of Classification for Squares -- 3. Partial results for Conjecture 1.3 -- 4. An Absolutely Cocartesian and Cartesian 3-cube -- 5. Applications and Related Work -- References -- Koszul duality complexes for the cohomology of iterated loop spaces of spheres -- Introduction -- Background and general conventions -- 1. Koszul duality and operadic homology -- 2. Free complete algebras and duality. |
| Record Nr. | UNINA-9910820659203321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Approximate homotopy of homomorphisms from C(X) into a simple C-algebra / / Huaxin Lin
| Approximate homotopy of homomorphisms from C(X) into a simple C-algebra / / Huaxin Lin |
| Autore | Lin Huaxin <1956-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (131 p.) |
| Disciplina | 514.24 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Homotopy theory
Homomorphisms (Mathematics) C*-algebras |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0577-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Chapter 1. Prelude""; ""1. Introduction""; ""2. Conventions and some facts""; ""3. The Basic Homotopy Lemma for dim(X)1""; ""Chapter 2. The Basic Homotopy Lemma for higher dimensional spaces""; ""4. K-theory and traces""; ""5. Some finite dimensional approximations""; ""6. The Basic Homotopy Lemma --- full spectrum""; ""7. The Basic Homotopy Lemma --- finite CW complexes""; ""8. The Basic Homotopy Lemma --- compact metric spaces""; ""9. The constant and an obstruction behind the measure distribution""; ""Chapter 3. Purely infinite simple C*-algebras""
""10. Purely infinite simple C*-alegbras""""11. Basic Homotopy Lemma in purely infinite simple C*-algebras""; ""Chapter 4. Approximate homotopy""; ""12. Homotopy length""; ""13. Approximate homotopy for homomorphisms""; ""14. Approximate homotopy for approximately multiplicative maps""; ""Chapter 5. Super Homotopy""; ""15. Super Homotopy Lemma --- the purely infinite case""; ""16. Super Homotopy Lemma --- the finite case""; ""Chapter 6. Postlude""; ""17. Non-commutative cases""; ""18. Concluding remarks""; ""Bibliography"" |
| Record Nr. | UNINA-9910480626403321 |
Lin Huaxin <1956->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Approximate homotopy of homomorphisms from C(X) into a simple C-algebra / / Huaxin Lin
| Approximate homotopy of homomorphisms from C(X) into a simple C-algebra / / Huaxin Lin |
| Autore | Lin Huaxin <1956-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (131 p.) |
| Disciplina | 514.24 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Homotopy theory
Homomorphisms (Mathematics) C*-algebras |
| ISBN | 1-4704-0577-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Chapter 1. Prelude""; ""1. Introduction""; ""2. Conventions and some facts""; ""3. The Basic Homotopy Lemma for dim(X)1""; ""Chapter 2. The Basic Homotopy Lemma for higher dimensional spaces""; ""4. K-theory and traces""; ""5. Some finite dimensional approximations""; ""6. The Basic Homotopy Lemma --- full spectrum""; ""7. The Basic Homotopy Lemma --- finite CW complexes""; ""8. The Basic Homotopy Lemma --- compact metric spaces""; ""9. The constant and an obstruction behind the measure distribution""; ""Chapter 3. Purely infinite simple C*-algebras""
""10. Purely infinite simple C*-alegbras""""11. Basic Homotopy Lemma in purely infinite simple C*-algebras""; ""Chapter 4. Approximate homotopy""; ""12. Homotopy length""; ""13. Approximate homotopy for homomorphisms""; ""14. Approximate homotopy for approximately multiplicative maps""; ""Chapter 5. Super Homotopy""; ""15. Super Homotopy Lemma --- the purely infinite case""; ""16. Super Homotopy Lemma --- the finite case""; ""Chapter 6. Postlude""; ""17. Non-commutative cases""; ""18. Concluding remarks""; ""Bibliography"" |
| Record Nr. | UNINA-9910788857803321 |
|
Lin Huaxin <1956->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Approximate homotopy of homomorphisms from C(X) into a simple C-algebra / / Huaxin Lin
| Approximate homotopy of homomorphisms from C(X) into a simple C-algebra / / Huaxin Lin |
| Autore | Lin Huaxin <1956-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (131 p.) |
| Disciplina | 514.24 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Homotopy theory
Homomorphisms (Mathematics) C*-algebras |
| ISBN | 1-4704-0577-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Chapter 1. Prelude""; ""1. Introduction""; ""2. Conventions and some facts""; ""3. The Basic Homotopy Lemma for dim(X)1""; ""Chapter 2. The Basic Homotopy Lemma for higher dimensional spaces""; ""4. K-theory and traces""; ""5. Some finite dimensional approximations""; ""6. The Basic Homotopy Lemma --- full spectrum""; ""7. The Basic Homotopy Lemma --- finite CW complexes""; ""8. The Basic Homotopy Lemma --- compact metric spaces""; ""9. The constant and an obstruction behind the measure distribution""; ""Chapter 3. Purely infinite simple C*-algebras""
""10. Purely infinite simple C*-alegbras""""11. Basic Homotopy Lemma in purely infinite simple C*-algebras""; ""Chapter 4. Approximate homotopy""; ""12. Homotopy length""; ""13. Approximate homotopy for homomorphisms""; ""14. Approximate homotopy for approximately multiplicative maps""; ""Chapter 5. Super Homotopy""; ""15. Super Homotopy Lemma --- the purely infinite case""; ""16. Super Homotopy Lemma --- the finite case""; ""Chapter 6. Postlude""; ""17. Non-commutative cases""; ""18. Concluding remarks""; ""Bibliography"" |
| Record Nr. | UNINA-9910811629303321 |
|
Lin Huaxin <1956->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Axiomatic stable homotopy theory / / Mark Hovey, John H. Palmieri, Neil P. Strickland
| Axiomatic stable homotopy theory / / Mark Hovey, John H. Palmieri, Neil P. Strickland |
| Autore | Hovey Mark <1965-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1997] |
| Descrizione fisica | 1 online resource (130 p.) |
| Disciplina |
510 s
514/.24 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Homotopy theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0195-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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 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"" |
| Record Nr. | UNINA-9910480978403321 |
|
Hovey Mark <1965->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1997] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Axiomatic stable homotopy theory / / Mark Hovey, John H. Palmieri, Neil P. Strickland
| Axiomatic stable homotopy theory / / Mark Hovey, John H. Palmieri, Neil P. Strickland |
| Autore | Hovey Mark <1965-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1997] |
| Descrizione fisica | 1 online resource (130 p.) |
| Disciplina |
510 s
514/.24 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Homotopy theory |
| ISBN | 1-4704-0195-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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 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"" |
| Record Nr. | UNINA-9910788732303321 |
|
Hovey Mark <1965->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1997] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Axiomatic stable homotopy theory / / Mark Hovey, John H. Palmieri, Neil P. Strickland
| Axiomatic stable homotopy theory / / Mark Hovey, John H. Palmieri, Neil P. Strickland |
| Autore | Hovey Mark <1965-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1997] |
| Descrizione fisica | 1 online resource (130 p.) |
| Disciplina |
510 s
514/.24 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Homotopy theory |
| ISBN | 1-4704-0195-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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 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"" |
| Record Nr. | UNINA-9910811888703321 |
|
Hovey Mark <1965->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1997] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Soggetto topico
-
Homotopy theory
(258)
- Algebraic topology (23)
- Homology theory (18)
- Loop spaces (14)
- Categories (Mathematics) (13)