Homotopy Type and Homology
โ Scribed by Hans-Joachim Baues
- Publisher
- Oxford University Press, USA
- Year
- 1996
- Tongue
- English
- Leaves
- 502
- Series
- Oxford Mathematical Monographs
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
The author, a leading figure in algebraic topology, provides a modern treatment of a long established set of questions in this important research area. The book's principal objective--and main result--is the classification theorem on k-variants and boundary invariants, which supplement the classical picture of homology and homotopy groups, along with computations of types that are obtained by applying this theorem. Research mathematicians in algebraic topology will be interested in this new attempt to classify homotopy types of simply connected CW-complexes.
๐ SIMILAR VOLUMES
The earlier chapters are quite good; however, some of the advanced topics in this book are better approached (appreciated) after one has learned about them elsewhere, at a more leisurely pace. For instance, this isn't the best place to first read about characteristic classes and topological K the
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<p>to Homotopy Theory O. Ya. Viro, D. B. Fuchs Translated from the Russian by C. J. Shaddock Contents Chapter 1. Basic Concepts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 ยง 1. Terminology and Notations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
<p><span>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.