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...
Κύριος συγγραφέας: | |
---|---|
Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Boston, MA :
Birkhäuser Boston : Imprint: Birkhäuser,
2009.
|
Σειρά: | Modern Birkhäuser Classics,
|
Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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.