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Diagram cohomology and isovariant homotopy theory / / Giora Dula, Reinhard Schultz
| Diagram cohomology and isovariant homotopy theory / / Giora Dula, Reinhard Schultz |
| Autore | Dula Giora <1952-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1994 |
| Descrizione fisica | 1 online resource (97 p.) |
| Disciplina | 514/.24 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Obstruction theory
Homotopy theory Spectral sequences (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0106-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Introduction""; ""1. Equivariant homotopy in diagram categories""; ""2. Quasistratifications""; ""3. Isovariant homotopy and maps of diagrams""; ""4. Almost isovariant maps""; ""5. Obstructions to isovariance""; ""6. Homotopy groups of isovariant function spaces""; ""7. Calculations with the spectral sequence""; ""8. Applications to differentiate group actions""; ""Index of selected terms and symbols""; ""References"" |
| Record Nr. | UNINA-9910480718303321 |
Dula Giora <1952->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Diagram cohomology and isovariant homotopy theory / / Giora Dula, Reinhard Schultz
| Diagram cohomology and isovariant homotopy theory / / Giora Dula, Reinhard Schultz |
| Autore | Dula Giora <1952-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1994 |
| Descrizione fisica | 1 online resource (97 p.) |
| Disciplina | 514/.24 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Obstruction theory
Homotopy theory Spectral sequences (Mathematics) |
| ISBN | 1-4704-0106-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Introduction""; ""1. Equivariant homotopy in diagram categories""; ""2. Quasistratifications""; ""3. Isovariant homotopy and maps of diagrams""; ""4. Almost isovariant maps""; ""5. Obstructions to isovariance""; ""6. Homotopy groups of isovariant function spaces""; ""7. Calculations with the spectral sequence""; ""8. Applications to differentiate group actions""; ""Index of selected terms and symbols""; ""References"" |
| Record Nr. | UNINA-9910788754603321 |
|
Dula Giora <1952->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Diagram cohomology and isovariant homotopy theory / / Giora Dula, Reinhard Schultz
| Diagram cohomology and isovariant homotopy theory / / Giora Dula, Reinhard Schultz |
| Autore | Dula Giora <1952-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1994 |
| Descrizione fisica | 1 online resource (97 p.) |
| Disciplina | 514/.24 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Obstruction theory
Homotopy theory Spectral sequences (Mathematics) |
| ISBN | 1-4704-0106-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Introduction""; ""1. Equivariant homotopy in diagram categories""; ""2. Quasistratifications""; ""3. Isovariant homotopy and maps of diagrams""; ""4. Almost isovariant maps""; ""5. Obstructions to isovariance""; ""6. Homotopy groups of isovariant function spaces""; ""7. Calculations with the spectral sequence""; ""8. Applications to differentiate group actions""; ""Index of selected terms and symbols""; ""References"" |
| Record Nr. | UNINA-9910827872403321 |
|
Dula Giora <1952->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Goodwillie tower and the EHP sequence / / Mark Behrens
| The Goodwillie tower and the EHP sequence / / Mark Behrens |
| Autore | Behrens Mark <1975-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (90 p.) |
| Disciplina | 514/.24 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Homotopy groups
Algebraic topology Spectral sequences (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-9014-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Introduction""; ""0.1. Conventions""; ""Chapter 1. Dyer-Lashof operations and the identity functor""; ""1.1. The operadic bar construction""; ""1.2. The cooperadic structure on B()""; ""1.3. Operad structure on *(Id)""; ""1.4. Homology of extended powers""; ""1.5. Dyer-Lashof-like operations""; ""Chapter 2. The Goodwillie tower of the EHP sequence""; ""2.1. Fiber sequences associated to the EHP sequence""; ""2.2. Homological behavior of the fiber sequences""; ""2.3. Transfinite Atiyah-Hirzebruch spectral sequences""
""2.4. Transfinite Goodwillie spectral sequence""""Chapter 3. Goodwillie filtration and the P map""; ""3.1. Goodwillie filtration""; ""3.2. The genealogy of unstable elements""; ""3.3. Behavior of the E and P maps in the TAHSS""; ""3.4. Behavior of the E and P maps in the TGSS""; ""3.5. Detection in the TGSS""; ""3.6. Relationship with Whitehead products""; ""Chapter 4. Goodwillie differentials and Hopf invariants""; ""4.1. Hopf invariants and the transfinite EHPSS""; ""4.2. Stable Hopf invariants and metastable homotopy""; ""4.3. Goodwillie d1 differentials and stable Hopf invariants"" ""4.4. Higher Goodwillie differentials and unstable Hopf invariants""""4.5. Propagating differentials with the P and E maps""; ""4.6. Calculus form of the Whitehead conjecture""; ""4.7. Exotic Goodwillie differentials""; ""Chapter 5. EHPSS differentials""; ""5.1. EHPSS naming conventions""; ""5.2. Using the TGSS to compute the H map""; ""5.3. TEHPSS differentials from TGSS differentials""; ""5.4. A bad differential""; ""Chapter 6. Calculations in the 2-primary Toda range""; ""6.1. AHSS calculations""; ""6.2. Calculation of the GSS for S1""; ""6.3. GSS calculations"" ""6.4. Calculation of the EHPSS""""6.5. Tables of computations""; ""6.5.1. The AHSS for k(L(1))""; ""6.5.2. The AHSS for k(L(2))""; ""6.5.3. The AHSS for k(L(3))""; ""6.5.4. The EHPSS""; ""6.5.5. The GSS for n+1(S1)""; ""6.5.6. The GSS for n+2(S2)""; ""6.5.7. The GSS for n+3(S3)""; ""6.5.8. The GSS for n+4(S4)""; ""6.5.9. The GSS for n+5(S5)""; ""6.5.10. The GSS for n+6(S6)""; ""Appendix A. Transfinite spectral sequences associated to towers""; ""A.1. The Grothendieck group of ordinals""; ""A.2. Towers""; ""A.3. The transfinite homotopy spectral sequence of a tower"" ""A.4. Geometric boundary theorem""""Bibliography"" |
| Record Nr. | UNINA-9910480981103321 |
|
Behrens Mark <1975->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Goodwillie tower and the EHP sequence / / Mark Behrens
| The Goodwillie tower and the EHP sequence / / Mark Behrens |
| Autore | Behrens Mark <1975-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (90 p.) |
| Disciplina | 514/.24 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Homotopy groups
Algebraic topology Spectral sequences (Mathematics) |
| ISBN | 0-8218-9014-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Introduction""; ""0.1. Conventions""; ""Chapter 1. Dyer-Lashof operations and the identity functor""; ""1.1. The operadic bar construction""; ""1.2. The cooperadic structure on B()""; ""1.3. Operad structure on *(Id)""; ""1.4. Homology of extended powers""; ""1.5. Dyer-Lashof-like operations""; ""Chapter 2. The Goodwillie tower of the EHP sequence""; ""2.1. Fiber sequences associated to the EHP sequence""; ""2.2. Homological behavior of the fiber sequences""; ""2.3. Transfinite Atiyah-Hirzebruch spectral sequences""
""2.4. Transfinite Goodwillie spectral sequence""""Chapter 3. Goodwillie filtration and the P map""; ""3.1. Goodwillie filtration""; ""3.2. The genealogy of unstable elements""; ""3.3. Behavior of the E and P maps in the TAHSS""; ""3.4. Behavior of the E and P maps in the TGSS""; ""3.5. Detection in the TGSS""; ""3.6. Relationship with Whitehead products""; ""Chapter 4. Goodwillie differentials and Hopf invariants""; ""4.1. Hopf invariants and the transfinite EHPSS""; ""4.2. Stable Hopf invariants and metastable homotopy""; ""4.3. Goodwillie d1 differentials and stable Hopf invariants"" ""4.4. Higher Goodwillie differentials and unstable Hopf invariants""""4.5. Propagating differentials with the P and E maps""; ""4.6. Calculus form of the Whitehead conjecture""; ""4.7. Exotic Goodwillie differentials""; ""Chapter 5. EHPSS differentials""; ""5.1. EHPSS naming conventions""; ""5.2. Using the TGSS to compute the H map""; ""5.3. TEHPSS differentials from TGSS differentials""; ""5.4. A bad differential""; ""Chapter 6. Calculations in the 2-primary Toda range""; ""6.1. AHSS calculations""; ""6.2. Calculation of the GSS for S1""; ""6.3. GSS calculations"" ""6.4. Calculation of the EHPSS""""6.5. Tables of computations""; ""6.5.1. The AHSS for k(L(1))""; ""6.5.2. The AHSS for k(L(2))""; ""6.5.3. The AHSS for k(L(3))""; ""6.5.4. The EHPSS""; ""6.5.5. The GSS for n+1(S1)""; ""6.5.6. The GSS for n+2(S2)""; ""6.5.7. The GSS for n+3(S3)""; ""6.5.8. The GSS for n+4(S4)""; ""6.5.9. The GSS for n+5(S5)""; ""6.5.10. The GSS for n+6(S6)""; ""Appendix A. Transfinite spectral sequences associated to towers""; ""A.1. The Grothendieck group of ordinals""; ""A.2. Towers""; ""A.3. The transfinite homotopy spectral sequence of a tower"" ""A.4. Geometric boundary theorem""""Bibliography"" |
| Record Nr. | UNINA-9910788618403321 |
|
Behrens Mark <1975->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Goodwillie tower and the EHP sequence / / Mark Behrens
| The Goodwillie tower and the EHP sequence / / Mark Behrens |
| Autore | Behrens Mark <1975-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (90 p.) |
| Disciplina | 514/.24 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Homotopy groups
Algebraic topology Spectral sequences (Mathematics) |
| ISBN | 0-8218-9014-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Introduction""; ""0.1. Conventions""; ""Chapter 1. Dyer-Lashof operations and the identity functor""; ""1.1. The operadic bar construction""; ""1.2. The cooperadic structure on B()""; ""1.3. Operad structure on *(Id)""; ""1.4. Homology of extended powers""; ""1.5. Dyer-Lashof-like operations""; ""Chapter 2. The Goodwillie tower of the EHP sequence""; ""2.1. Fiber sequences associated to the EHP sequence""; ""2.2. Homological behavior of the fiber sequences""; ""2.3. Transfinite Atiyah-Hirzebruch spectral sequences""
""2.4. Transfinite Goodwillie spectral sequence""""Chapter 3. Goodwillie filtration and the P map""; ""3.1. Goodwillie filtration""; ""3.2. The genealogy of unstable elements""; ""3.3. Behavior of the E and P maps in the TAHSS""; ""3.4. Behavior of the E and P maps in the TGSS""; ""3.5. Detection in the TGSS""; ""3.6. Relationship with Whitehead products""; ""Chapter 4. Goodwillie differentials and Hopf invariants""; ""4.1. Hopf invariants and the transfinite EHPSS""; ""4.2. Stable Hopf invariants and metastable homotopy""; ""4.3. Goodwillie d1 differentials and stable Hopf invariants"" ""4.4. Higher Goodwillie differentials and unstable Hopf invariants""""4.5. Propagating differentials with the P and E maps""; ""4.6. Calculus form of the Whitehead conjecture""; ""4.7. Exotic Goodwillie differentials""; ""Chapter 5. EHPSS differentials""; ""5.1. EHPSS naming conventions""; ""5.2. Using the TGSS to compute the H map""; ""5.3. TEHPSS differentials from TGSS differentials""; ""5.4. A bad differential""; ""Chapter 6. Calculations in the 2-primary Toda range""; ""6.1. AHSS calculations""; ""6.2. Calculation of the GSS for S1""; ""6.3. GSS calculations"" ""6.4. Calculation of the EHPSS""""6.5. Tables of computations""; ""6.5.1. The AHSS for k(L(1))""; ""6.5.2. The AHSS for k(L(2))""; ""6.5.3. The AHSS for k(L(3))""; ""6.5.4. The EHPSS""; ""6.5.5. The GSS for n+1(S1)""; ""6.5.6. The GSS for n+2(S2)""; ""6.5.7. The GSS for n+3(S3)""; ""6.5.8. The GSS for n+4(S4)""; ""6.5.9. The GSS for n+5(S5)""; ""6.5.10. The GSS for n+6(S6)""; ""Appendix A. Transfinite spectral sequences associated to towers""; ""A.1. The Grothendieck group of ordinals""; ""A.2. Towers""; ""A.3. The transfinite homotopy spectral sequence of a tower"" ""A.4. Geometric boundary theorem""""Bibliography"" |
| Record Nr. | UNINA-9910817274203321 |
|
Behrens Mark <1975->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Implication in Morava K-theory / / Richard M. Kane
| Implication in Morava K-theory / / Richard M. Kane |
| Autore | Kane Richard M. <1944-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1986 |
| Descrizione fisica | 1 online resource (118 p.) |
| Disciplina | 510 s |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
K-theory
Steenrod algebra Spectral sequences (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0753-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Introduction""; ""Chapter I: Hopf Algebras""; ""1. Primitives and Indecomposables""; ""2. The Steenrod Algebra and Eilenberg-MacLane Spaces""; ""3. The Homology and Cohomology of Finite H-Spaces""; ""Chapter II: Morava K-Theory""; ""4. The Module Tor(n)""; ""5. Implications in k(n) Theory""; ""6. Simple Systems for B[sub(r)]""; ""Chapter III: The Primitive Case of the Main Theorem""; ""7. The Primitive Case of the Main Theorem""; ""8. The Hopf Algebra Î?""; ""9. The Extended Induction Hypothesis""; ""10. Proof of Proposition 7.9""; ""Chapter IV: The Space X""
""11. The Space X""""12. The Eilenberg-Moore Spectral Sequence for X""; ""13. The Map h*""; ""14. The Hopf Algebra Ω""; ""15. The Hopf Algebra H*X//Î?""; ""16. The Action of A(2) on QH*X""; ""Chapter V: The General Case of the Main Theorem""; ""17. The General Case of the Main Theorem""; ""18. Proof of Lemma 17.11""; ""19. Proof of Lemma 17.12""; ""Chapter VI: Footnotes""; ""20. The Case p odd""; ""21. The Case AdE[sub(7)]""; ""References"" |
| Record Nr. | UNINA-9910480684303321 |
|
Kane Richard M. <1944->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1986 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Implication in Morava K-theory / / Richard M. Kane
| Implication in Morava K-theory / / Richard M. Kane |
| Autore | Kane Richard M. <1944-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1986 |
| Descrizione fisica | 1 online resource (118 p.) |
| Disciplina | 510 s |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
K-theory
Steenrod algebra Spectral sequences (Mathematics) |
| ISBN | 1-4704-0753-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Introduction""; ""Chapter I: Hopf Algebras""; ""1. Primitives and Indecomposables""; ""2. The Steenrod Algebra and Eilenberg-MacLane Spaces""; ""3. The Homology and Cohomology of Finite H-Spaces""; ""Chapter II: Morava K-Theory""; ""4. The Module Tor(n)""; ""5. Implications in k(n) Theory""; ""6. Simple Systems for B[sub(r)]""; ""Chapter III: The Primitive Case of the Main Theorem""; ""7. The Primitive Case of the Main Theorem""; ""8. The Hopf Algebra Î?""; ""9. The Extended Induction Hypothesis""; ""10. Proof of Proposition 7.9""; ""Chapter IV: The Space X""
""11. The Space X""""12. The Eilenberg-Moore Spectral Sequence for X""; ""13. The Map h*""; ""14. The Hopf Algebra Ω""; ""15. The Hopf Algebra H*X//Î?""; ""16. The Action of A(2) on QH*X""; ""Chapter V: The General Case of the Main Theorem""; ""17. The General Case of the Main Theorem""; ""18. Proof of Lemma 17.11""; ""19. Proof of Lemma 17.12""; ""Chapter VI: Footnotes""; ""20. The Case p odd""; ""21. The Case AdE[sub(7)]""; ""References"" |
| Record Nr. | UNINA-9910788880903321 |
|
Kane Richard M. <1944->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1986 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Implication in Morava K-theory / / Richard M. Kane
| Implication in Morava K-theory / / Richard M. Kane |
| Autore | Kane Richard M. <1944-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1986 |
| Descrizione fisica | 1 online resource (118 p.) |
| Disciplina | 510 s |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
K-theory
Steenrod algebra Spectral sequences (Mathematics) |
| ISBN | 1-4704-0753-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Introduction""; ""Chapter I: Hopf Algebras""; ""1. Primitives and Indecomposables""; ""2. The Steenrod Algebra and Eilenberg-MacLane Spaces""; ""3. The Homology and Cohomology of Finite H-Spaces""; ""Chapter II: Morava K-Theory""; ""4. The Module Tor(n)""; ""5. Implications in k(n) Theory""; ""6. Simple Systems for B[sub(r)]""; ""Chapter III: The Primitive Case of the Main Theorem""; ""7. The Primitive Case of the Main Theorem""; ""8. The Hopf Algebra Î?""; ""9. The Extended Induction Hypothesis""; ""10. Proof of Proposition 7.9""; ""Chapter IV: The Space X""
""11. The Space X""""12. The Eilenberg-Moore Spectral Sequence for X""; ""13. The Map h*""; ""14. The Hopf Algebra Ω""; ""15. The Hopf Algebra H*X//Î?""; ""16. The Action of A(2) on QH*X""; ""Chapter V: The General Case of the Main Theorem""; ""17. The General Case of the Main Theorem""; ""18. Proof of Lemma 17.11""; ""19. Proof of Lemma 17.12""; ""Chapter VI: Footnotes""; ""20. The Case p odd""; ""21. The Case AdE[sub(7)]""; ""References"" |
| Record Nr. | UNINA-9910819087703321 |
|
Kane Richard M. <1944->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1986 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Künneth theorem and the universal coefficient theorem for equivariant K-theory and KK-theory / / Jonathan Rosenberg and Claude Schochet
| The Künneth theorem and the universal coefficient theorem for equivariant K-theory and KK-theory / / Jonathan Rosenberg and Claude Schochet |
| Autore | Rosenberg Jonathan M (Jonathan Micah), <1951-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1986 |
| Descrizione fisica | 1 online resource (105 p.) |
| Disciplina | 510 s |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
K-theory
KK-theory Spectral sequences (Mathematics) Algebra, Homological |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0764-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910480013503321 |
|
Rosenberg Jonathan M (Jonathan Micah), <1951->
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| Providence, Rhode Island : , : American Mathematical Society, , 1986 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
