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.
Fibrewise Homotopy Theory
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Inside This Book
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First Sentence:
Let us work over a (topological) base space B. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
fibrewise spaces, fibrewise fibration, homotopy fibre bundles, fibrewise map, fibrewise retract, fibrewise homology, fibrewise suspension, fibrewise product, fibrewise version, fibrewise action, categorical open sets, cofibre space, fibrewise cone, fibrewise function, uniform local contractibility, fibrewise homotopic, fibrewise discrete, fibrewise homeomorphism, cofibred pair, fibrewise graph, natural fibrewise, fibrewise cohomology, fibrewise complex, fibrewise fibre, fibrewise multiplication Key Phrases - Capitalized Phrases (CAPs): (learn more)
Algebraic Topology New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Let us work over a (topological) base space B. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
fibrewise spaces, fibrewise fibration, homotopy fibre bundles, fibrewise map, fibrewise retract, fibrewise homology, fibrewise suspension, fibrewise product, fibrewise version, fibrewise action, categorical open sets, cofibre space, fibrewise cone, fibrewise function, uniform local contractibility, fibrewise homotopic, fibrewise discrete, fibrewise homeomorphism, cofibred pair, fibrewise graph, natural fibrewise, fibrewise cohomology, fibrewise complex, fibrewise fibre, fibrewise multiplication Key Phrases - Capitalized Phrases (CAPs): (learn more)
Algebraic Topology New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 15
books:
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29
books
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- Homotopy Theory by George W. Whitehead on 7 pages
- Algebraic Topology (Colloquium Pbns. Series, Vol 27) by Solomon Lefschetz on page 273
- Classifying Spaces and Fibrations (Memoirs : No 155) by J. Peter May in Back Matter
- Introduction to compact transformation groups, Volume 46 (Pure and Applied Mathematics) by Glen E. Bredon in Back Matter
- Algebraic Topology (Lecture Notes in Mathematics) by H. Richard Miller in Back Matter
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- Valued Fields (Springer Monographs in Mathematics) by Antonio J. Engler in Back Matter
- Serre's Problem on Projective Modules by T.Y. Lam in Back Matter
- Elementary and Analytic Theory of Algebraic Numbers (Springer Monographs in Mathematics) by Wladyslaw Narkiewicz in Back Matter
- Nonstandard Analysis, Axiomatically (Springer Monographs in Mathematics) by Vladimir Kanovei in Back Matter
- Lie Algebras and Algebraic Groups (Springer Monographs in Mathematics) by Patrice Tauvel in Back Matter
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