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Topology II : Homotopy and Homology. Classical Manifolds /

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Two top experts in topology, O. Ya. Viro and D.B. Fuchs, give an up-to-date account of research in central areas of topology and the theory of Lie groups. They cover homotopy, homology and cohomology as well as the theory of manifolds, Lie groups, Grassmanians and low-dimensional manifolds. Their bo...

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Bibliographic Details
Main Author: Novikov, S. P.
Corporate Author: SpringerLink (Online service)
Other Authors: Rokhlin, V. A.
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2004.
Series:Encyclopaedia of mathematical sciences ; 24.
Subjects:
Mathematics.
Global differential geometry.
Topology.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Part I. Introduction to Homotopy Theory by O. Ya. Viro and D.B. Fuchs: 1. Basic Concepts
  • 2. Bundle Techniques
  • 3. Cellular Techniques
  • 4. The Simplest Calculations
  • Part II. Homology and Cohomology by O. Ya. Viro and D.B. Fuchs: 1. Additive Theory
  • 2. Multiplicative Theory
  • 3. Obstructions, Characteristic Classes and Cohomology Operations
  • References
  • Part III. Classical Manifolds by D.B. Fuchs: Introduction
  • 1. Spheres
  • 2. Lie Groups and Stiefel Manifolds
  • 3. Grassman Manifolds and Spaces
  • 4. Some Other Important Homogeneous Spaces
  • 5. Some Manifolds of Low Dimension
  • References.