Fibrewise Homotopy Theory (Springer Monographs in Mathematics)

Crabb, M.C./ James, I. M.

Springer London Ltd（1998/08発売）

• 製本 Hardcover:ハードカバー版／ページ数 349 p.
• 言語 ENG
• 商品コード 9781852330149
• DDC分類 514.24

Full Description

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.

Contents

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.