Algebraic topology / Edwin H. Spanier |
Autore | Spanier, Edwin Henry |
Edizione | [TMH edition] |
Pubbl/distr/stampa | New Delhi : Tata McGraw-Hill Pub. Co., 1971 |
Descrizione fisica | xiv, 528 p. ; 22 cm |
Disciplina | 514.2 |
Soggetto topico | Algebraic topology |
ISBN | 0070995826 |
Classificazione | AMS 55-XX |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991003425549707536 |
Spanier, Edwin Henry | ||
New Delhi : Tata McGraw-Hill Pub. Co., 1971 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
Algebraic topology / Edwin H. Spanier |
Autore | Spanier, Edwin Henry |
Edizione | [1st corr. ed.] |
Pubbl/distr/stampa | New York : Springer-Verlag, c1966 |
Descrizione fisica | xiv, 528 p. ; 24 cm |
Disciplina | 514.2 |
Soggetto topico | Algebraic topology |
ISBN | 0387906460 |
Classificazione | AMS 55-XX |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000664519707536 |
Spanier, Edwin Henry | ||
New York : Springer-Verlag, c1966 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
Algebraic Topology [[electronic resource] ] : VIASM 2012–2015 / / edited by H.V. Hưng Nguyễn, Lionel Schwartz |
Edizione | [1st ed. 2017.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
Descrizione fisica | 1 online resource (VII, 180 p. 5 illus., 2 illus. in color.) |
Disciplina | 514.2 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Algebraic topology
Category theory (Mathematics) Homological algebra Algebraic Topology Category Theory, Homological Algebra |
ISBN | 3-319-69434-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Introduction -- Contents -- 1 Hodge Filtration and Operations in Higher Hochschild (Co)homology and Applications to Higher String Topology -- 1.1 Introduction and Overview -- 1.2 Notations, Conventions and a Few Standard Facts -- 1.3 Higher Hochschild (Co)homology -- 1.3.1 -Modules and Hochschild (Co)chain Complexes over Spaces -- 1.3.2 Combinatorial Higher Hochschild (Co)chains -- 1.3.3 Derived Hochschild (Co)chains -- 1.4 Hodge Filtration and λ-Operations on Hochschild (Co)homology over Spheres and Suspensions -- 1.4.1 γ-Rings and Lambda Operations -- 1.4.2 Edgewise Subdivision and Simplicial Approach to λ-Operations -- 1.4.3 Hodge Filtration for Hochschild Cochains over Spheres and Suspensions -- 1.4.4 Hodge Filtration on Hochschild Cochains on the Standard Model -- 1.4.5 Hodge Filtration and λ-Operations for Hochschild Chains over Spheres and Suspensions -- 1.4.6 Hodge Filtration and the Eilenberg-Zilber Model for Hochschild Cochains of Suspensions and Products -- 1.5 Additional Ring Structures for Higher Hochschild Cohomology -- 1.5.1 The Wedge and Cup Product -- 1.5.2 The Universal En-Algebra Structure Lifting the Cup-Product -- 1.5.2.1 The En-Structure of Hochschild (Co)homology over Sn -- 1.5.2.2 The Combinatorial Description of the Centralizer of CDGA Maps -- 1.5.3 The O(d)-Equivariance of the Universal Ed Algebra Structure on Hochschild Cochomology over Spheres -- 1.6 Applications of Higher Hochschild-Kostant-Rosenberg Theorem -- 1.6.1 Statement of HKR Theorem -- 1.6.2 HKR Isomorphism and Hodge Decomposition -- 1.6.3 Compatibility of Hodge Decomposition with the Algebra Structure in Cohomology and Induced Poisn+1-Algebra Structure -- 1.6.4 Applications to Poisn-Algebras (Co)homology -- 1.7 Applications to Brane Topology -- 1.7.1 Higher Hochschild (Co)homology as a Model for Mapping Spaces.
1.7.2 Models for Brane Topology in Characteristic Zero -- References -- 2 On the Derived Functors of Destabilization and of Iterated Loop Functors -- 2.1 Introduction -- 2.2 Background -- 2.2.1 The Steenrod Algebra as a Quadratic Algebra -- 2.2.2 The Category of A-Modules -- 2.2.3 Unstable Modules and Destabilization -- 2.2.4 Derived Functors -- 2.2.5 Motivation for Studying Derived Functors of Destabilization and of Iterated Loop Functors -- 2.3 First Results on Derived Functors of Destabilization and of Iterated Loops -- 2.3.1 Derived Functors of Ω -- 2.3.2 Applications of Ω and Ω1 -- 2.3.3 Interactions Between Loops and Destabilization -- 2.3.4 Connectivity for Ds -- 2.3.5 Comparing Ds and Ωts -- 2.4 Singer Functors -- 2.4.1 The Unstable Singer Functors Rs -- 2.4.2 Singer Functors for M -- 2.4.3 The Singer Differential -- 2.5 Constructing Chain Complexes -- 2.5.1 Destabilization -- 2.5.2 Iterated Loops -- 2.5.3 The Lannes-Zarati Homomorphism -- 2.6 Perspectives -- 2.6.1 The Spherical Class Conjecture and Related Problems -- 2.6.2 Generalizations of the Lannes-Zarati Homomorphism -- References -- 3 A Mini-Course on Morava Stabilizer Groups and Their Cohomology -- 3.1 Introduction -- 3.2 Bousfield Localization and the Chromatic Set Up -- 3.2.1 Bousfield Localization -- 3.2.2 Morava K-Theories -- 3.2.3 LK(n)S0 as Homotopy Fixed Point Spectrum -- 3.3 Resolutions of K(n)-Local Spheres -- 3.3.1 The Example n=1 and p>2 -- 3.3.2 The Case That p-1 Does Not Divide n -- 3.3.3 The Example n=2 and p>3 -- 3.3.4 The Example n=1 and p=2 -- 3.3.5 The General Case p-1 Divides n -- 3.3.6 The Example n=2 and p=3 -- 3.3.7 Permutation Resolutions and Realizations -- 3.3.8 Applications and Work in Progress -- 3.3.8.1 The Case n=2 and p=3 -- 3.3.8.2 The Case n=2 and p>3 -- 3.3.8.3 The Case n=p=2 -- 3.4 The Morava Stabilizer Groups: First Properties. 3.4.1 The Morava Stabilizer Group as a Profinite Group -- 3.4.2 The Associated Mixed Lie Algebra of Sn -- 3.4.3 Torsion in the Morava Stabilizer Groups -- 3.5 On the Cohomology of the Stabilizer Groups with Trivial Coefficients -- 3.5.1 H1: The Stabilizer Group Made Abelian -- 3.5.2 The Cohomology of S1 -- 3.5.3 Structural Properties of H*(Sn,Z/p) -- 3.5.4 The Reduced Norm and a Decomposition of Sn -- 3.5.5 Cohomology in Case n=2 and p>2 -- 3.5.5.1 The Case p>3 -- 3.5.5.2 The Case p=3 -- 3.5.5.3 The Case p=2 -- 3.6 Cohomology with Non-trivial Coefficients and Resolutions -- 3.6.1 The Case n=1 -- 3.6.1.1 The Case p>2 -- 3.6.1.2 The Case p=2 -- 3.6.2 Some Comments on the Case n=2 -- References. |
Record Nr. | UNISA-996466537803316 |
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|
Algebraic Topology [[electronic resource] ] : VIASM 2012–2015 / / edited by H.V. Hưng Nguyễn, Lionel Schwartz |
Edizione | [1st ed. 2017.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
Descrizione fisica | 1 online resource (VII, 180 p. 5 illus., 2 illus. in color.) |
Disciplina | 514.2 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Algebraic topology
Category theory (Mathematics) Homological algebra Algebraic Topology Category Theory, Homological Algebra |
ISBN | 3-319-69434-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Introduction -- Contents -- 1 Hodge Filtration and Operations in Higher Hochschild (Co)homology and Applications to Higher String Topology -- 1.1 Introduction and Overview -- 1.2 Notations, Conventions and a Few Standard Facts -- 1.3 Higher Hochschild (Co)homology -- 1.3.1 -Modules and Hochschild (Co)chain Complexes over Spaces -- 1.3.2 Combinatorial Higher Hochschild (Co)chains -- 1.3.3 Derived Hochschild (Co)chains -- 1.4 Hodge Filtration and λ-Operations on Hochschild (Co)homology over Spheres and Suspensions -- 1.4.1 γ-Rings and Lambda Operations -- 1.4.2 Edgewise Subdivision and Simplicial Approach to λ-Operations -- 1.4.3 Hodge Filtration for Hochschild Cochains over Spheres and Suspensions -- 1.4.4 Hodge Filtration on Hochschild Cochains on the Standard Model -- 1.4.5 Hodge Filtration and λ-Operations for Hochschild Chains over Spheres and Suspensions -- 1.4.6 Hodge Filtration and the Eilenberg-Zilber Model for Hochschild Cochains of Suspensions and Products -- 1.5 Additional Ring Structures for Higher Hochschild Cohomology -- 1.5.1 The Wedge and Cup Product -- 1.5.2 The Universal En-Algebra Structure Lifting the Cup-Product -- 1.5.2.1 The En-Structure of Hochschild (Co)homology over Sn -- 1.5.2.2 The Combinatorial Description of the Centralizer of CDGA Maps -- 1.5.3 The O(d)-Equivariance of the Universal Ed Algebra Structure on Hochschild Cochomology over Spheres -- 1.6 Applications of Higher Hochschild-Kostant-Rosenberg Theorem -- 1.6.1 Statement of HKR Theorem -- 1.6.2 HKR Isomorphism and Hodge Decomposition -- 1.6.3 Compatibility of Hodge Decomposition with the Algebra Structure in Cohomology and Induced Poisn+1-Algebra Structure -- 1.6.4 Applications to Poisn-Algebras (Co)homology -- 1.7 Applications to Brane Topology -- 1.7.1 Higher Hochschild (Co)homology as a Model for Mapping Spaces.
1.7.2 Models for Brane Topology in Characteristic Zero -- References -- 2 On the Derived Functors of Destabilization and of Iterated Loop Functors -- 2.1 Introduction -- 2.2 Background -- 2.2.1 The Steenrod Algebra as a Quadratic Algebra -- 2.2.2 The Category of A-Modules -- 2.2.3 Unstable Modules and Destabilization -- 2.2.4 Derived Functors -- 2.2.5 Motivation for Studying Derived Functors of Destabilization and of Iterated Loop Functors -- 2.3 First Results on Derived Functors of Destabilization and of Iterated Loops -- 2.3.1 Derived Functors of Ω -- 2.3.2 Applications of Ω and Ω1 -- 2.3.3 Interactions Between Loops and Destabilization -- 2.3.4 Connectivity for Ds -- 2.3.5 Comparing Ds and Ωts -- 2.4 Singer Functors -- 2.4.1 The Unstable Singer Functors Rs -- 2.4.2 Singer Functors for M -- 2.4.3 The Singer Differential -- 2.5 Constructing Chain Complexes -- 2.5.1 Destabilization -- 2.5.2 Iterated Loops -- 2.5.3 The Lannes-Zarati Homomorphism -- 2.6 Perspectives -- 2.6.1 The Spherical Class Conjecture and Related Problems -- 2.6.2 Generalizations of the Lannes-Zarati Homomorphism -- References -- 3 A Mini-Course on Morava Stabilizer Groups and Their Cohomology -- 3.1 Introduction -- 3.2 Bousfield Localization and the Chromatic Set Up -- 3.2.1 Bousfield Localization -- 3.2.2 Morava K-Theories -- 3.2.3 LK(n)S0 as Homotopy Fixed Point Spectrum -- 3.3 Resolutions of K(n)-Local Spheres -- 3.3.1 The Example n=1 and p>2 -- 3.3.2 The Case That p-1 Does Not Divide n -- 3.3.3 The Example n=2 and p>3 -- 3.3.4 The Example n=1 and p=2 -- 3.3.5 The General Case p-1 Divides n -- 3.3.6 The Example n=2 and p=3 -- 3.3.7 Permutation Resolutions and Realizations -- 3.3.8 Applications and Work in Progress -- 3.3.8.1 The Case n=2 and p=3 -- 3.3.8.2 The Case n=2 and p>3 -- 3.3.8.3 The Case n=p=2 -- 3.4 The Morava Stabilizer Groups: First Properties. 3.4.1 The Morava Stabilizer Group as a Profinite Group -- 3.4.2 The Associated Mixed Lie Algebra of Sn -- 3.4.3 Torsion in the Morava Stabilizer Groups -- 3.5 On the Cohomology of the Stabilizer Groups with Trivial Coefficients -- 3.5.1 H1: The Stabilizer Group Made Abelian -- 3.5.2 The Cohomology of S1 -- 3.5.3 Structural Properties of H*(Sn,Z/p) -- 3.5.4 The Reduced Norm and a Decomposition of Sn -- 3.5.5 Cohomology in Case n=2 and p>2 -- 3.5.5.1 The Case p>3 -- 3.5.5.2 The Case p=3 -- 3.5.5.3 The Case p=2 -- 3.6 Cohomology with Non-trivial Coefficients and Resolutions -- 3.6.1 The Case n=1 -- 3.6.1.1 The Case p>2 -- 3.6.1.2 The Case p=2 -- 3.6.2 Some Comments on the Case n=2 -- References. |
Record Nr. | UNINA-9910257380603321 |
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Algebraic topology [e-book] : VIASM 2012-2015 / Nguyen H.V. Hung, Lionel Schwartz, editors |
Descrizione fisica | 1 online resource (vii, 180 p. 5 ill., 2 ill. in color.) |
Disciplina | 514.2 |
Altri autori (Persone) |
Nguyễn H. V. Hu'ng
Schwartz, Lionelauthor |
Collana | Lecture Notes in Mathematics, 0075-8434 ; 2194 |
Soggetto topico |
Categories (Mathematics)
Algebra, Homological Algebraic topology |
ISBN |
9783319694344
3319694340 |
Classificazione |
AMS 55-06
AMS 18-06 AMS 00B25 LC QA612-612.8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991003564259707536 |
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
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Algebraic topology : new in localization and periodicity : Barcelona conference on Algebraic topology, Sant Feliu de Guixols, Spain, June 1-7 1994 / Carles Broto, Carles Casacuberta, Guido Mislin editors |
Pubbl/distr/stampa | Basel : Birkhäuser, c1996 |
Descrizione fisica | IX, 400 p. ; 24 cm |
Disciplina | 514.2 |
Collana | Progress in mathematics |
Soggetto topico | Topologia algebrica - Congressi - 1994 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISA-990000395370203316 |
Basel : Birkhäuser, c1996 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
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Algebraic topology : homotopy and group cohomology : proceedings of the 1990 Barcelona Conference on Algebraic Topology, held in S. Feliu de Guíxols, Spain, June 6-12, 1990 / / J. Aguadé, Manuel Castellet, Frederick R. Cohen, editors |
Edizione | [1st ed. 1992.] |
Pubbl/distr/stampa | Berlin : , : Springer-Verlag, , [1992] |
Descrizione fisica | 1 online resource (X, 334 p.) |
Disciplina | 514.2 |
Collana | Lecture notes in mathematics (Springer-Verlag) |
Soggetto topico |
Algebraic topology
Homology theory Homotopy theory |
ISBN | 3-540-46772-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | On the geometry and cohomology of finite simple groups -- Resolutions and Poincaré duality for finite groups -- Groups and spaces with all localizations trivial -- More examples of non-cancellation in homotopy -- On sub-A*p-algebras of H*V -- The classification of 3-manifolds with spines related to Fibonacci groups -- Algorithm for the computation of the cohomology of ?-groups -- Remarks on the homotopy theory associated to perfect groups -- Homotopy localization and V 1-periodic spaces -- The modulo 2 cohomology algebra of the wreath product ???X -- Lannes' division functors on summands of H*(B(Z/p)r) -- Classes homotopiques associees a une G-operation -- A note on the Brauer lift map -- Categorical models of N-types for pro-crossed complexes and ?n-prospaces -- Morava K-theories of classifying spaces and generalized characters for finite groups -- Classifying spaces of compact simple lie groups and p-tori -- On parametrized Borsuk-Ulam theorem for free Z p -action -- Réalisation topologique de certaines algèbres associées aux algèbres de Dickson / Topological realisation of certain algebras associated to the Dickson algebras -- Normalized operations in cohomology -- Concise tables of James numbers and some homotopy of classical Lie groups and associated homogeneous spaces -- An example of a stable splitting: The classifying space of the 4-dim unipotent group -- On the homotopy uniqueness of BU(2) at the prime 2 -- On infinite dimensional spaces that are rationally equivalent to a Bouquet of spheres -- Cohomologically central elements and fusion in groups -- Rational homotopy of the space of homotopy equivalences of a flag manifold -- Rational cohomology and homotopy of spaces with circle action -- On the action of steenrod powers on polynomial algebras. |
Record Nr. | UNISA-996466625803316 |
Berlin : , : Springer-Verlag, , [1992] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
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Algebraic topology : proceedings of an international conference held in Arcata, California, July 27-August 2, 1986 / G. Carlsson ... [et al.], eds. |
Pubbl/distr/stampa | Berlin [etc.] : Springer, c1989 |
Descrizione fisica | IX, 456 p. ; 25 cm. |
Disciplina | 514.2 |
Collana | Lecture notes in mathematics |
Soggetto topico | Topologia algebrica - Congressi |
ISBN | 3-540-51118-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNIBAS-000014098 |
Berlin [etc.] : Springer, c1989 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. della Basilicata | ||
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Algebraic topology : proceedings of an international conference held in Arcata, California, July 27-August 2, 1986 / / edited by Gunnar Carlsson [and three others] |
Edizione | [1st ed. 1989.] |
Pubbl/distr/stampa | Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1989] |
Descrizione fisica | 1 online resource (X, 462 p.) |
Disciplina | 514.2 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Mathematics
Algebra, Homological Algebraic topology |
ISBN | 3-540-46160-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Topology: past, present and future -- The work of Edgar H. Brown, Jr. in Topology -- Homology representations of finite transformation groups -- Homotopy exponents for spaces of category two -- On the complex bordism of classifying spaces -- On equivariant maps and immersions of real projective spaces -- Cogroups which are not suspensions -- Instantons and homotopy -- On real homotopy theory -- Some remarks on the space Im J -- A new spectrum related to 7-connected cobordism -- Aspherical manifolds without smooth or PL structure -- Homology with simplicial coefficients -- On the double suspension -- A whitehead product for track groups -- Minimal atlases of real projective spaces -- Higher homotopy associativity -- Homotopy approximations for classifying spaces of compact lie groups -- Cyclic homology and characteristic classes of bundles with additional structures -- Morava K-theories and infinite loop spaces -- Lie groups from a homotopy point of view -- Order of the identity map of the Brown-Gitler spectrum -- Topology of the intersection of quadrics in ?2 -- Orientations for Poincaré duality spaces and applications -- A double coset formula for levi subgroups and splitting BGL n -- Browder-Fröhlich symbols -- K-theory homology of spaces -- Stirling and Bernoulli numbers for complex oriented homology theory -- Composition products in RHom, and ring spectra of derived endomorphisms -- Convexity and root closure in negatively curved manifolds -- Cohomology of finite groups and brown-peterson cohomology -- The artin-hasse logarithm for ?-rings -- Higher cohomology operations that detect homotopy classes -- Problem session for homotopy theory -- H-spaces -- K and L-theory -- Manifolds & bordism -- Transformation groups. |
Record Nr. | UNISA-996466630803316 |
Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1989] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|
Algebraic topology [e-book] : proceedings of an international conference held in Arcata, California, July 27-August 2, 1986 / edited by Gunnar Carlsson ... [et al.] |
Pubbl/distr/stampa | Berlin : Springer, 1989 |
Descrizione fisica | 1 online resource (ix, 456 p.) |
Disciplina | 514.2 |
Altri autori (Persone) | Carlsson, Gunnar |
Collana | Lecture Notes in Mathematics, 0075-8434 ; 1370 |
Soggetto topico |
Mathematics
Algebraic topology |
ISBN | 9783540461609 |
Classificazione | AMS 55-06 |
Formato | Risorse elettroniche |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991002227609707536 |
Berlin : Springer, 1989 | ||
Risorse elettroniche | ||
Lo trovi qui: Univ. del Salento | ||
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