Fibrewise Homotopy Theory
Seiten
1998
Springer London Ltd (Verlag)
978-1-85233-014-9 (ISBN)
Springer London Ltd (Verlag)
978-1-85233-014-9 (ISBN)
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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 aims to be a research stimulant and develops theories such as homotopy, equivariant homotopy and fibrewise homotopy.
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.
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.
Part 1: A Survey of Fibrewise Homotopy Theory. Introduction to Fibrewise Homotopy Theory. The Pointed Theory. Applications; Part 2: An Introduction to Fibrewise Stable Homotopy Theory. Foundations. Fixed-Point Methods. Manifold Theory. Homology Theory.
| Reihe/Serie | Springer Monographs in Mathematics |
|---|---|
| Zusatzinfo | references, index |
| Verlagsort | England |
| Sprache | englisch |
| Einbandart | gebunden |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| ISBN-10 | 1-85233-014-7 / 1852330147 |
| ISBN-13 | 978-1-85233-014-9 / 9781852330149 |
| Zustand | Neuware |
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