Fibrewise Homotopy Theory

M.C. Crabb, I. M. James (Autoren)

Buch | Hardcover

349 Seiten

1998
Springer London Ltd (Verlag)
9781852330149 (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.

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-13	9781852330149 / 9781852330149
Zustand	Neuware