A History of algebraic and differential topology, 1900 - 1960
Since the early part of the 20th century, topology has gradually spread to many other branches of mathematics, and this book demonstrates how the subject continues to play a central role in the field. Written by a world-renowned mathematician, this classic text traces the history of algebraic topolo...
Gorde:
| Egile nagusia: | |
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| Formatua: | Livre numérique |
| Hizkuntza: | Anglais |
| Argitaratua: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Edizioa: | 1st ed. 2009. |
| Saila: | Modern Birkhäuser Classics
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| Gaiak: | |
| Sarrera elektronikoa: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Oharra: |
Description d'après consultation du 02 mars 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • A History of Algebraic and Differential Topology, 1900 - 1960, Texte imprimé, 9780817649067 • A History of Algebraic and Differential Topology, 1900 - 1960, Texte imprimé, 9780817649081 • A history of algebraic and differential topology, 1900-1960, Jean Dieudonné, 1989, Boston, Birkhäuser, 1 vol. (XXI-648 p.), 0-8176-3388-X |
Aurkibidea:
- Simplicia1 Techniques and Homology The Work of Poincar#x00E9; The Build-Up of #x201C;Classical#x201D; Homology The Beginnings of Differential Topology The Various Homology and Cohomology Theories The First Applications of Simplicia1 Methods and of Homology The Concept of Degree Dimension Theory and Separation Theorems Fixed Points Local Homological Properties Quotient Spaces and Their Homology Homolagy of Groups and Homogeneous Spaces Applications of Homology to Geometry and Analysis Homotopy and its Relution to Homology Fundamental Group and Covering Spaces Elementary Notions and Early Results in Homotopy Theory Fibrations Homology of Fibrations Sophisticated Relations between Homotopy and Homology Cohomology Operations Generalized Homology and Cohomology.
- Part I: Simplicia1 Techniques and Homology
- Part 2: The First Applications of Simplicia1 : Methods and of Homology
- Dimension Theory and Separation Theorems
- Part 3: Homotopy and its Relution to Homology
- Cohomology Operations
- Generalized Homology and Cohomology
- The Work of Poincaré
- The Build-Up of Classical Homology
- The Beginnings of Differential Topology
- The Various Homology and Cohomology Theories
- The Concept of Degree
- Fixed Points
- Local Homological Properties
- Quotient Spaces and Their Homology
- Homolagy of Groups and Homogeneous Spaces
- Applications of Homology to Geometry and Analysis
- Fundamental Group and Covering Spaces
- Elementary Notions and Early Results in Homotopy Theory
- Fibrations
- Homology of Fibrations
- Sophisticated Relations between Homotopy and Homology