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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 book will be used by graduate students and researchers in mathematics and mathematical physics.
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Topology II: Homotopy and Homology. Classical Manifolds
2004, Springer Berlin Heidelberg
electronic resource :
in English
3642080847 9783642080845
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Book Details
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.
Edition Notes
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Also available in print.
Mode of access: World Wide Web.
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- Created July 7, 2019
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September 29, 2024 | Edited by MARC Bot | import existing book |
December 30, 2021 | Edited by ImportBot | import existing book |
December 29, 2021 | Edited by ImportBot | import existing book |
July 7, 2019 | Created by MARC Bot | Imported from Internet Archive item record |