Fibrewise homotopy theory
by Crabb, M. C., (Michael Charles)
Topology occupies a central position in the mathematics of today. The concept of the fibre bundle provides an appropriate framework for studying differential geometry. There is a large amount of literature on this subject already, so this book fulfils its aim of being a research stimulant and develops theories such as homotopy, equivariant homotopy, fibrewise homotopy and much more. Part 2 does assume a certain familiarity with the basic ideas from Part 1, but is written in such a way that the …
Read More ↓Title Statements
- Full title :Fibrewise homotopy theory / Michael Crabb, Ioan James.
Summary
Topology occupies a central position in the mathematics of today. The concept of the fibre bundle provides an appropriate framework for studying differential geometry. There is a large amount of literature on this subject already, so this book fulfils its aim of being a research stimulant and develops theories such as homotopy, equivariant homotopy, fibrewise homotopy and much more. Part 2 does assume a certain familiarity with the basic ideas from Part 1, but is written in such a way that the reader interested mainly in stable theory should be able to begin with Part 2 and refer back to Part 1 as necessary. Details on specific sections can be found in the introductions at the beginning of each part.
Read More ↓Edition Statements
- Publication Date:©1998.
Publication Statements
- Publisher(s):Springer
- Place of Publication:London
- Language:eng
- Publication Date:©1998.
The Physical Object
- Description:1 online resource (viii, 341 pages) : : illustrations
Edition Identifiers
- ISBN:9781447112655, 1447112652
- DOI:10.1007/978-1-4471-1265-5
- oclc:ocn680275061
- LC Classification:QA612.7
- Dewey Decimal:514/.24
Table of Contents
I.A Survey of Fibrewise Homotopy Theory -- 1: An Introduction to Fibrewise Homotopy Theory -- 2: The Pointed Theory -- 3: Applications -- II. An Introduction to Fibrewise Stable Homotopy Theory -- 1: Foundations -- 2: Fixed-point Methods -- 3: Manifold Theory -- 4: Homology Theory -- References.
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