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Primary homotopy theory / / Joseph Neisendorfer
| Primary homotopy theory / / Joseph Neisendorfer |
| Autore | Neisendorfer Joseph <1945-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1980] |
| Descrizione fisica | 1 online resource (72 p.) |
| Disciplina |
510 s
514/.24 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Homotopy theory |
| ISBN | 1-4704-0636-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""0. Introduction""; ""1. Homotopy groups with coefficients""; ""2. Localization""; ""3. Mod k Hurewicz theorems""; ""4. Bockstein spectral sequences""; ""5. Bockstein spectral systems""; ""6. Smash products of Moore spaces""; ""7. Additional properties of mod k homotopy groups""; ""8. Coproduct maps""; ""9. External Samelson products""; ""10. Internal Samelson products""; ""11. Relative Samelson products""; ""12. Samelson products and Bockstein spectral sequences""; ""13. Samelson products and compositions""; ""14. Remarks on applications""; ""15. Bibliography"" |
| Record Nr. | UNINA-9910788894403321 |
Neisendorfer Joseph <1945->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1980] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Primary homotopy theory / / Joseph Neisendorfer
| Primary homotopy theory / / Joseph Neisendorfer |
| Autore | Neisendorfer Joseph <1945-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1980] |
| Descrizione fisica | 1 online resource (72 p.) |
| Disciplina |
510 s
514/.24 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Homotopy theory |
| ISBN | 1-4704-0636-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""0. Introduction""; ""1. Homotopy groups with coefficients""; ""2. Localization""; ""3. Mod k Hurewicz theorems""; ""4. Bockstein spectral sequences""; ""5. Bockstein spectral systems""; ""6. Smash products of Moore spaces""; ""7. Additional properties of mod k homotopy groups""; ""8. Coproduct maps""; ""9. External Samelson products""; ""10. Internal Samelson products""; ""11. Relative Samelson products""; ""12. Samelson products and Bockstein spectral sequences""; ""13. Samelson products and compositions""; ""14. Remarks on applications""; ""15. Bibliography"" |
| Record Nr. | UNINA-9910817226303321 |
|
Neisendorfer Joseph <1945->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1980] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Proceedings of the Northwestern Homotopy Theory Conference / / Haynes R. Miller and Stewart B. Priddy, editors
| Proceedings of the Northwestern Homotopy Theory Conference / / Haynes R. Miller and Stewart B. Priddy, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1983] |
| Descrizione fisica | 1 online resource (466 p.) |
| Disciplina | 514/.24 |
| Collana | Contemporary mathematics |
| Soggetto topico | Homotopy theory |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7605-8
0-8218-5020-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""On weakly almost complex manifolds with vanishing decomposable Chern numbers""; ""The Kervaire invariant problem""; ""Surgery theory of immersions""; ""The homology of function spaces""; ""Some new immersions and non-immersions of real projective spaces""; ""Simple proofs of some Borsuk-Ulam results""; ""Alteration of H-structures""; ""Poincare spaces with the homology of a Sphere""; ""Rational algebraic K-theory of a product of Eilenberg-Maclane Spaces""; ""An algebraic filtration of H*BO""; ""The cohomology of the Dyer Lashof algebra""
""Spacelike resolutions of spectra""""Equivariant bundles with abelian structural group""; ""Cohomology extensions in certain 2-stage Postnikov systems""; ""Borsuk-Ulam theorems for spherical space forms""; ""On the classification of G spheres""; ""Some root invariants in ExtA* ' * (Z/2,Z/2)""; ""On the Segal conjecture for periodic groups""; ""Power series methods in unoriented cobordism""; ""Rothenberg sequences and the algebraic s1-bundle transfer""; ""Small ring spectra and p-rank of the stable homotopy of spheres""; ""Equivariant cell attachment and equivariant vector bundles"" ""Embedding certain complexes via unstable homotopy theory""""Exotic spheres admitting circle actions with codimension four stationary sets""; ""Note on symbols in Kn""; ""The cohomology of subgroups of GLn (Fq)""; ""Filtrations on the representation ring of a finite group""; ""The homotopy limit problem""; ""A primer on the Dickson invariants""; ""Current problems in homotopy theory"" |
| Record Nr. | UNINA-9910480465303321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1983] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Proceedings of the Northwestern Homotopy Theory Conference / / Haynes R. Miller and Stewart B. Priddy, editors
| Proceedings of the Northwestern Homotopy Theory Conference / / Haynes R. Miller and Stewart B. Priddy, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1983] |
| Descrizione fisica | 1 online resource (466 p.) |
| Disciplina | 514/.24 |
| Collana | Contemporary mathematics |
| Soggetto topico | Homotopy theory |
| ISBN |
0-8218-7605-8
0-8218-5020-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""On weakly almost complex manifolds with vanishing decomposable Chern numbers""; ""The Kervaire invariant problem""; ""Surgery theory of immersions""; ""The homology of function spaces""; ""Some new immersions and non-immersions of real projective spaces""; ""Simple proofs of some Borsuk-Ulam results""; ""Alteration of H-structures""; ""Poincare spaces with the homology of a Sphere""; ""Rational algebraic K-theory of a product of Eilenberg-Maclane Spaces""; ""An algebraic filtration of H*BO""; ""The cohomology of the Dyer Lashof algebra""
""Spacelike resolutions of spectra""""Equivariant bundles with abelian structural group""; ""Cohomology extensions in certain 2-stage Postnikov systems""; ""Borsuk-Ulam theorems for spherical space forms""; ""On the classification of G spheres""; ""Some root invariants in ExtA* ' * (Z/2,Z/2)""; ""On the Segal conjecture for periodic groups""; ""Power series methods in unoriented cobordism""; ""Rothenberg sequences and the algebraic s1-bundle transfer""; ""Small ring spectra and p-rank of the stable homotopy of spheres""; ""Equivariant cell attachment and equivariant vector bundles"" ""Embedding certain complexes via unstable homotopy theory""""Exotic spheres admitting circle actions with codimension four stationary sets""; ""Note on symbols in Kn""; ""The cohomology of subgroups of GLn (Fq)""; ""Filtrations on the representation ring of a finite group""; ""The homotopy limit problem""; ""A primer on the Dickson invariants""; ""Current problems in homotopy theory"" |
| Record Nr. | UNINA-9910788781303321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1983] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Proceedings of the Northwestern Homotopy Theory Conference / / Haynes R. Miller and Stewart B. Priddy, editors
| Proceedings of the Northwestern Homotopy Theory Conference / / Haynes R. Miller and Stewart B. Priddy, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1983] |
| Descrizione fisica | 1 online resource (466 p.) |
| Disciplina | 514/.24 |
| Collana | Contemporary mathematics |
| Soggetto topico | Homotopy theory |
| ISBN |
0-8218-7605-8
0-8218-5020-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""On weakly almost complex manifolds with vanishing decomposable Chern numbers""; ""The Kervaire invariant problem""; ""Surgery theory of immersions""; ""The homology of function spaces""; ""Some new immersions and non-immersions of real projective spaces""; ""Simple proofs of some Borsuk-Ulam results""; ""Alteration of H-structures""; ""Poincare spaces with the homology of a Sphere""; ""Rational algebraic K-theory of a product of Eilenberg-Maclane Spaces""; ""An algebraic filtration of H*BO""; ""The cohomology of the Dyer Lashof algebra""
""Spacelike resolutions of spectra""""Equivariant bundles with abelian structural group""; ""Cohomology extensions in certain 2-stage Postnikov systems""; ""Borsuk-Ulam theorems for spherical space forms""; ""On the classification of G spheres""; ""Some root invariants in ExtA* ' * (Z/2,Z/2)""; ""On the Segal conjecture for periodic groups""; ""Power series methods in unoriented cobordism""; ""Rothenberg sequences and the algebraic s1-bundle transfer""; ""Small ring spectra and p-rank of the stable homotopy of spheres""; ""Equivariant cell attachment and equivariant vector bundles"" ""Embedding certain complexes via unstable homotopy theory""""Exotic spheres admitting circle actions with codimension four stationary sets""; ""Note on symbols in Kn""; ""The cohomology of subgroups of GLn (Fq)""; ""Filtrations on the representation ring of a finite group""; ""The homotopy limit problem""; ""A primer on the Dickson invariants""; ""Current problems in homotopy theory"" |
| Record Nr. | UNINA-9910818823203321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1983] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Rational homotopical models and uniqueness / / Martin Majewski
| Rational homotopical models and uniqueness / / Martin Majewski |
| Autore | Majewski Martin <1963-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2000] |
| Descrizione fisica | 1 online resource (175 p.) |
| Disciplina |
510 s
514/.24 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Homotopy theory
Hopf algebras |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0273-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""ABSTRACT""; ""KEYWORDS""; ""PREFACE""; ""INTRODUCTION""; ""1. HOMOTOPY THEORY""; ""1. HOMOTOPICAL CATEGORIES""; ""1. The axioms""; ""2. Left homotopical categories""; ""3. Homotopical subcategories""; ""2. FUNDAMENTAL RESULTS""; ""1. Lifting and extension""; ""2. The derived category""; ""3. Homotopical functors and their derived functors""; ""4. The Adjoint Functor Theorem""; ""3. COMONOIDS UP TO HOMOTOPY""; ""1. � as comonoids over the derived category""; ""2. Derived tensor product""; ""3. Generalizations""; ""A. EXAMPLES OF HOMOTOPICAL CATEGORIES""
""1. Cofibration categories""""2. Model categories""; ""3. Spaces""; ""4. Simplicial objects""; ""2. DIFFERENTIAL ALGEBRA""; ""1. PRELIMINARIES""; ""1. Chain complexes""; ""2. DG (co)algebras""; ""3. Tensor (co) algebras""; ""2. TWISTING MAPS AND THE (CO) BAR CONSTRUCTION""; ""1. Twisting maps and homotopies""; ""2. The (co)bar construction""; ""3. Compatibility with tensor product""; ""4. Homological properties""; ""3. ACYCLIC MODELS""; ""1. Representable functors""; ""2. The method of acyclic models""; ""3. Duality""; ""4. Acyclic model theorems for twisting maps""; ""4. EZ-MORPHISMS"" ""1. Extension of an EZ-morphism""""2. A generalization""; ""3. Properties of the extension""; ""B. CHAIN (CO) FUNCTORS""; ""1. Monoidal categories""; ""2. Normalization""; ""3. Representable cofunctors for spaces""; ""4. Cohomology theories""; ""3. COMPLETE ALGEBRA""; ""1. COMPLETE AUGMENTED ALGEBRAS""; ""1. Ring systems""; ""2. Complete modules""; ""3. Complete augmented algebras and free groups""; ""4. Rigidity""; ""2. COMPLETE LIE ALGEBRAS AND COMPLETE HOPF ALGEBRAS""; ""1. Complete Hopf algebras and the exponential mapping""; ""2. The PBW�Theorem""; ""3. Normal complete Hopf algebras"" ""4. Rigidity""""3. COMPLETE GROUPS""; ""1. Nilpotent groups""; ""2. Complete groups""; ""3. The Lazard � Mal'cev correspondence""; ""4. The Quillen functor""; ""C. FILTERED MODULES""; ""1. Filtered vs. cofiltered modules""; ""2. Normal maps and exactness""; ""3. Filtered tensor product""; ""4. Complete Differential Algebra""; ""4. THREE MODELS FOR SPACES""; ""1. THE CELLULAR MODEL""; ""1. The homotopical category of dg algebras""; ""2. The homotopical category of dg Hopf algebras up to homotopy""; ""3. The cobar � chain functor and the chain � loop functor"" ""4. Compatibility with (tensor) products""""5. The homotopy diagonals""; ""2. THE SULLIVAN MODEL""; ""1. The homotopical category of commutative dg* algebras""; ""2. The Sullivan cofunctor and Stokes' map""; ""3. Extension of Stokes' map""; ""4. Compatibility with (tensor) products""; ""5. Dualization""; ""6. The homotopy diagonals""; ""3. THE QUILLEN MODEL""; ""1. The homotopical category of dg Lie algebras""; ""2. The Quillen functor""; ""3. Connection to the chain � loop functor""; ""4. The group algebra of a free simplicial group""; ""5. A proof of the Quillen equivalence"" ""4. MAIN RESULTS"" |
| Record Nr. | UNINA-9910481049903321 |
|
Majewski Martin <1963->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2000] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Rational homotopical models and uniqueness / / Martin Majewski
| Rational homotopical models and uniqueness / / Martin Majewski |
| Autore | Majewski Martin <1963-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2000] |
| Descrizione fisica | 1 online resource (175 p.) |
| Disciplina |
510 s
514/.24 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Homotopy theory
Hopf algebras |
| ISBN | 1-4704-0273-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""ABSTRACT""; ""KEYWORDS""; ""PREFACE""; ""INTRODUCTION""; ""1. HOMOTOPY THEORY""; ""1. HOMOTOPICAL CATEGORIES""; ""1. The axioms""; ""2. Left homotopical categories""; ""3. Homotopical subcategories""; ""2. FUNDAMENTAL RESULTS""; ""1. Lifting and extension""; ""2. The derived category""; ""3. Homotopical functors and their derived functors""; ""4. The Adjoint Functor Theorem""; ""3. COMONOIDS UP TO HOMOTOPY""; ""1. � as comonoids over the derived category""; ""2. Derived tensor product""; ""3. Generalizations""; ""A. EXAMPLES OF HOMOTOPICAL CATEGORIES""
""1. Cofibration categories""""2. Model categories""; ""3. Spaces""; ""4. Simplicial objects""; ""2. DIFFERENTIAL ALGEBRA""; ""1. PRELIMINARIES""; ""1. Chain complexes""; ""2. DG (co)algebras""; ""3. Tensor (co) algebras""; ""2. TWISTING MAPS AND THE (CO) BAR CONSTRUCTION""; ""1. Twisting maps and homotopies""; ""2. The (co)bar construction""; ""3. Compatibility with tensor product""; ""4. Homological properties""; ""3. ACYCLIC MODELS""; ""1. Representable functors""; ""2. The method of acyclic models""; ""3. Duality""; ""4. Acyclic model theorems for twisting maps""; ""4. EZ-MORPHISMS"" ""1. Extension of an EZ-morphism""""2. A generalization""; ""3. Properties of the extension""; ""B. CHAIN (CO) FUNCTORS""; ""1. Monoidal categories""; ""2. Normalization""; ""3. Representable cofunctors for spaces""; ""4. Cohomology theories""; ""3. COMPLETE ALGEBRA""; ""1. COMPLETE AUGMENTED ALGEBRAS""; ""1. Ring systems""; ""2. Complete modules""; ""3. Complete augmented algebras and free groups""; ""4. Rigidity""; ""2. COMPLETE LIE ALGEBRAS AND COMPLETE HOPF ALGEBRAS""; ""1. Complete Hopf algebras and the exponential mapping""; ""2. The PBW�Theorem""; ""3. Normal complete Hopf algebras"" ""4. Rigidity""""3. COMPLETE GROUPS""; ""1. Nilpotent groups""; ""2. Complete groups""; ""3. The Lazard � Mal'cev correspondence""; ""4. The Quillen functor""; ""C. FILTERED MODULES""; ""1. Filtered vs. cofiltered modules""; ""2. Normal maps and exactness""; ""3. Filtered tensor product""; ""4. Complete Differential Algebra""; ""4. THREE MODELS FOR SPACES""; ""1. THE CELLULAR MODEL""; ""1. The homotopical category of dg algebras""; ""2. The homotopical category of dg Hopf algebras up to homotopy""; ""3. The cobar � chain functor and the chain � loop functor"" ""4. Compatibility with (tensor) products""""5. The homotopy diagonals""; ""2. THE SULLIVAN MODEL""; ""1. The homotopical category of commutative dg* algebras""; ""2. The Sullivan cofunctor and Stokes' map""; ""3. Extension of Stokes' map""; ""4. Compatibility with (tensor) products""; ""5. Dualization""; ""6. The homotopy diagonals""; ""3. THE QUILLEN MODEL""; ""1. The homotopical category of dg Lie algebras""; ""2. The Quillen functor""; ""3. Connection to the chain � loop functor""; ""4. The group algebra of a free simplicial group""; ""5. A proof of the Quillen equivalence"" ""4. MAIN RESULTS"" |
| Record Nr. | UNINA-9910788739503321 |
|
Majewski Martin <1963->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2000] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Rational homotopical models and uniqueness / / Martin Majewski
| Rational homotopical models and uniqueness / / Martin Majewski |
| Autore | Majewski Martin <1963-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2000] |
| Descrizione fisica | 1 online resource (175 p.) |
| Disciplina |
510 s
514/.24 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Homotopy theory
Hopf algebras |
| ISBN | 1-4704-0273-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""ABSTRACT""; ""KEYWORDS""; ""PREFACE""; ""INTRODUCTION""; ""1. HOMOTOPY THEORY""; ""1. HOMOTOPICAL CATEGORIES""; ""1. The axioms""; ""2. Left homotopical categories""; ""3. Homotopical subcategories""; ""2. FUNDAMENTAL RESULTS""; ""1. Lifting and extension""; ""2. The derived category""; ""3. Homotopical functors and their derived functors""; ""4. The Adjoint Functor Theorem""; ""3. COMONOIDS UP TO HOMOTOPY""; ""1. � as comonoids over the derived category""; ""2. Derived tensor product""; ""3. Generalizations""; ""A. EXAMPLES OF HOMOTOPICAL CATEGORIES""
""1. Cofibration categories""""2. Model categories""; ""3. Spaces""; ""4. Simplicial objects""; ""2. DIFFERENTIAL ALGEBRA""; ""1. PRELIMINARIES""; ""1. Chain complexes""; ""2. DG (co)algebras""; ""3. Tensor (co) algebras""; ""2. TWISTING MAPS AND THE (CO) BAR CONSTRUCTION""; ""1. Twisting maps and homotopies""; ""2. The (co)bar construction""; ""3. Compatibility with tensor product""; ""4. Homological properties""; ""3. ACYCLIC MODELS""; ""1. Representable functors""; ""2. The method of acyclic models""; ""3. Duality""; ""4. Acyclic model theorems for twisting maps""; ""4. EZ-MORPHISMS"" ""1. Extension of an EZ-morphism""""2. A generalization""; ""3. Properties of the extension""; ""B. CHAIN (CO) FUNCTORS""; ""1. Monoidal categories""; ""2. Normalization""; ""3. Representable cofunctors for spaces""; ""4. Cohomology theories""; ""3. COMPLETE ALGEBRA""; ""1. COMPLETE AUGMENTED ALGEBRAS""; ""1. Ring systems""; ""2. Complete modules""; ""3. Complete augmented algebras and free groups""; ""4. Rigidity""; ""2. COMPLETE LIE ALGEBRAS AND COMPLETE HOPF ALGEBRAS""; ""1. Complete Hopf algebras and the exponential mapping""; ""2. The PBW�Theorem""; ""3. Normal complete Hopf algebras"" ""4. Rigidity""""3. COMPLETE GROUPS""; ""1. Nilpotent groups""; ""2. Complete groups""; ""3. The Lazard � Mal'cev correspondence""; ""4. The Quillen functor""; ""C. FILTERED MODULES""; ""1. Filtered vs. cofiltered modules""; ""2. Normal maps and exactness""; ""3. Filtered tensor product""; ""4. Complete Differential Algebra""; ""4. THREE MODELS FOR SPACES""; ""1. THE CELLULAR MODEL""; ""1. The homotopical category of dg algebras""; ""2. The homotopical category of dg Hopf algebras up to homotopy""; ""3. The cobar � chain functor and the chain � loop functor"" ""4. Compatibility with (tensor) products""""5. The homotopy diagonals""; ""2. THE SULLIVAN MODEL""; ""1. The homotopical category of commutative dg* algebras""; ""2. The Sullivan cofunctor and Stokes' map""; ""3. Extension of Stokes' map""; ""4. Compatibility with (tensor) products""; ""5. Dualization""; ""6. The homotopy diagonals""; ""3. THE QUILLEN MODEL""; ""1. The homotopical category of dg Lie algebras""; ""2. The Quillen functor""; ""3. Connection to the chain � loop functor""; ""4. The group algebra of a free simplicial group""; ""5. A proof of the Quillen equivalence"" ""4. MAIN RESULTS"" |
| Record Nr. | UNINA-9910812747003321 |
|
Majewski Martin <1963->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2000] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Rational homotopy theory / Yves Félix, Stephen Halperin, Jean-Claude Thomas
| Rational homotopy theory / Yves Félix, Stephen Halperin, Jean-Claude Thomas |
| Autore | Félix, Yves |
| Pubbl/distr/stampa | New York : Springer, c2001 |
| Descrizione fisica | xxxii, 535 p. ; 25 cm. |
| Disciplina | 514.24 |
| Altri autori (Persone) |
Thomas, Jean-Claudeauthor
Halperin, Stephenauthor |
| Collana | Graduate texts in mathematics, 0072-5285 ; 205 |
| Soggetto topico | Homotopy theory |
| ISBN | 0387950680 |
| Classificazione |
AMS 55P62
QA612.7.F46 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001285969707536 |
|
Félix, Yves
|
||
| New York : Springer, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Rational homotopy theory and differential forms / / Phillip Griffiths, John Morgan
| Rational homotopy theory and differential forms / / Phillip Griffiths, John Morgan |
| Autore | Griffiths Phillip |
| Edizione | [2nd ed. 2013.] |
| Pubbl/distr/stampa | New York : , : Birkhauser, , 2013 |
| Descrizione fisica | 1 online resource (xi, 224 pages) : illustrations |
| Disciplina | 514.24 |
| Collana | Progress in Mathematics |
| Soggetto topico |
Homotopy theory
Differential forms |
| ISBN | 1-4614-8468-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Introduction -- 2 Basic Concepts -- 3 CW Homology Theorem -- 4 The Whitehead Theorem and the Hurewicz Theorem.- 5 Spectral Sequence of a Fibration -- 6 Obstruction Theory -- 7 Eilenberg-MacLane Spaces, Cohomology, and Principal Fibrations -- 8 Postnikov Towers and Rational Homotopy Theory -- 9 deRham's theorem for simplicial complexes -- 10 Differential Graded Algebras -- 11 Homotopy Theory of DGAs -- 12 DGAs and Rational Homotopy Theory -- 13 The Fundamental Group -- 14 Examples and Computations -- 15 Functorality -- 16 The Hirsch Lemma -- 17 Quillen's work on Rational Homotopy Theory -- 18 A1-structures and C1-structures -- 19 Exercises. |
| Record Nr. | UNINA-9910739407603321 |
|
Griffiths Phillip
|
||
| New York : , : Birkhauser, , 2013 | ||
| 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)