Titre :	Differential forms in algebraic topology
Type de document :	texte imprimé
Auteurs :	Bott, Raoul ; Loring W. Tu
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 Langues originales : Russe
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 ; Loring W. Tu . - New York, NY : Springer, 1982 . - xiv - 331 p.. - (Graduate Texts in Mathematics; 82) .
ISBN : 978-3-540-90613-1
Langues : Anglais Langues originales : Russe

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