Differential forms in algebraic topology / Bott, Raoul

Public ISBD Titre : Differential forms in algebraic topology Type de document : texte imprimé Auteurs : Bott, Raoul ; Tu, Loring W. Editeur : New York, NY : Springer Année de publication : 1982 Collection : Graduate Texts in Mathematics num. 82 Importance : xiv - 331 p. ISBN/ISSN/EAN : 978-3-540-90613-1 Langues : Anglais (eng) Langues originales : Russe (rus) Catégories : 55-XX Algebraic topology:55-02 Research exposition (monographs, survey articles) 55-XX Algebraic topology:55NXX Homology and cohomology theories :55N05 v Cech types 55-XX Algebraic topology:55NXX Homology and cohomology theories :55N10 Singular theory 55-XX Algebraic topology:55RXX Fiber spaces and bundles :55R05 Fiber spaces 55-XX Algebraic topology:55RXX Fiber spaces and bundles :55R10 Fiber bundles 55-XX Algebraic topology:55RXX Fiber spaces and bundles :55R15 Classification 57-XX Manifolds and cell complexes :57RXX Differential topology :57R20 Characteristic classes and numbers 58-XX Global analysis, analysis on manifolds :58-02 Research exposition (monographs, survey articles) 58-XX Global analysis, analysis on manifolds :58AXX General theory of differentiable manifolds :58A12 de Rham theory Mots-clés : universal bundle  pontrjagin classes  cohomology rings of flag manifolds  splitting principle  chern class  minimal models  rational homotopy theory  homotopy groups of a sphere  postnikov approximation  transgressive elements  eilenberg-maclane spaces  hopf invariant  hopf fibration  morse theory  hurewicz isomorphism  cohomology of loop spaces  universal coefficient theorems  gysin sequence  cohomology of complex projective spaces  hopf index theorem  cech cohomology  twisted de rham complex  euler class  thom class  integration along the fiber  vertical cohomology  vector bundles  thom isomorphism  leray-hirsch theorem  kuenneth formula  poincare duality  poincare lemmas  stoke's theorem  integration of differential forms  de rham cohomology  characteristic classes  spectral sequences  cech-de rham complex  eilenberg-steenrod axioms  singular (co)homology  de rham theory Index. décimale : 55C Monographie Differential forms in algebraic topology [texte imprimé] / Bott, Raoul ; Tu, Loring W. . - Springer, 1982 . - xiv - 331 p.. - (Graduate Texts in Mathematics; 82) . ISBN : 978-3-540-90613-1 Langues : Anglais (eng) Langues originales : Russe (rus) Catégories : 55-XX Algebraic topology:55-02 Research exposition (monographs, survey articles) 55-XX Algebraic topology:55NXX Homology and cohomology theories :55N05 v Cech types 55-XX Algebraic topology:55NXX Homology and cohomology theories :55N10 Singular theory 55-XX Algebraic topology:55RXX Fiber spaces and bundles :55R05 Fiber spaces 55-XX Algebraic topology:55RXX Fiber spaces and bundles :55R10 Fiber bundles 55-XX Algebraic topology:55RXX Fiber spaces and bundles :55R15 Classification 57-XX Manifolds and cell complexes :57RXX Differential topology :57R20 Characteristic classes and numbers 58-XX Global analysis, analysis on manifolds :58-02 Research exposition (monographs, survey articles) 58-XX Global analysis, analysis on manifolds :58AXX General theory of differentiable manifolds :58A12 de Rham theory Mots-clés : universal bundle  pontrjagin classes  cohomology rings of flag manifolds  splitting principle  chern class  minimal models  rational homotopy theory  homotopy groups of a sphere  postnikov approximation  transgressive elements  eilenberg-maclane spaces  hopf invariant  hopf fibration  morse theory  hurewicz isomorphism  cohomology of loop spaces  universal coefficient theorems  gysin sequence  cohomology of complex projective spaces  hopf index theorem  cech cohomology  twisted de rham complex  euler class  thom class  integration along the fiber  vertical cohomology  vector bundles  thom isomorphism  leray-hirsch theorem  kuenneth formula  poincare duality  poincare lemmas  stoke's theorem  integration of differential forms  de rham cohomology  characteristic classes  spectral sequences  cech-de rham complex  eilenberg-steenrod axioms  singular (co)homology  de rham theory Index. décimale : 55C Monographie

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12421	55C100	imprimé / autre	CRDM	55/TOPOLOGIE ALGEBRIQUE	Sorti jusqu'au 31/12/2011
122	55C100	imprimé / autre	CRDM	55/TOPOLOGIE ALGEBRIQUE	Disponible
13272	55C100	imprimé / autre	CRDM	55/TOPOLOGIE ALGEBRIQUE	Disponible
123	55C100	imprimé / autre	CRDM	55/TOPOLOGIE ALGEBRIQUE	Exclu du prêt