Topology II
Subtitle: Homotopy and Homology. Classical Manifolds
By: edited by S. P. Novikov, V. A. Rokhlin
Contributors: Rokhlin, V. A.
Series: Encyclopaedia of Mathematical Sciences -- 24; Encyclopaedia of Mathematical Sciences -- 24
Publisher: Springer Berlin Heidelberg
Published: 2004
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] :
Number of pages: 257
ISBN-13: 9783642080845; 9783662105818
Subjects: Global differential geometry; Mathematics; Topology
Description: 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 book will be used by graduate students and researchers in mathematics and mathematical physics.
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Mode of access: World Wide Web.
Table of contents: title: Part I. Introduction to Homotopy Theory by O.Ya.Viro and D.B.Fuchs: 1. Basic Concepts; title: 2. Bundle Techniques; title: 3. Cellular Techniques; title: 4. The Simplest Calculations; title: Part II. Homology and Cohomology by O.Ya. Viro and D.B.Fuchs: 1. Additive Theory; title: 2. Multiplicative Theory; title: 3. Obstructions, Characteristic Classes and Cohomology Operations; title: References; title: Part III. Classical Manifolds by D.B.Fuchs: Introduction; title: 1. Spheres; title: 2. Lie Groups and Stiefel Manifolds; title: 3. Grassman Manifolds and Spaces; title: 4. Some Other Important Homogeneous Spaces; title: 5. Some Manifolds of Low Dimension; title: References.