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Most popular at the top
- Birkhäuser Basel 2009; US$ 69.99
This book introduces basic tools of modern homotopy theory. It covers basic topics such as simplicial groups, Postnikov towers, and bisimplicial sets, as well as such advanced topics as homotopy limits and colimits, cosimplicial spaces, and homotopy coherence. more...
- Cambridge University Press 1993; US$ 92.00
This book considers the current state of knowledge in the geometric and algebraic aspects of two-dimensional homotopy theory. more...
- Springer 2006; US$ 39.95
Deals with string topology, Hochschild and cyclic homology. This book consists of an exposition of various approaches to string topology and the Chas-Sullivan loop product. It also gives a construction of an algebraic model for computing topological cyclic homology. It is suitable for both graduate students and established researchers. more...
- Elsevier Science 1992; US$ 72.95
The central idea of the lecture course which gave birth to this book was to define the homotopy groups of a space and then give all the machinery needed to prove in detail that the n th homotopy group of the sphere S n , for n greater than or equal to 1 is isomorphic to the group of the integers, that the lower homotopy groups of S n are... more...
- Oxford University Press, UK 2008; US$ 55.00
A text aimed at both geometers needing the tools of rational homotopy theory to understand and discover new results concerning various geometric subjects, and topologists who require greater breadth of knowledge about geometric applications of the algebra of homotopy theory. - ;Rational homotopy is a very powerful tool for differential topology and... more...
- Birkhäuser Basel 2009; US$ 129.00
This book describes key techniques of stable homotopy theory, classical and new, and applies them to the unsolved problem of the existence of framed manifolds with odd Arf-Kervaire invariant. It introduces a new technique called "upper triangular technology." more...
- Wiley 2009; US$ 292.00
"This is a fascinating book mixing geometry, topology and probability theory..." ( London Mathematical Society Bulletin , Vol 32, 2000) "The potential value that his volume should have to researchers in many areas for years to come." ( Short Book Reviews , August 2000) "I would like to conclude this review by strongly recommending that geodists... more...
- Springer 2010; US$ 59.95
Homotopy theory and C* algebras are central topics in contemporary mathematics. This book introduces a modern homotopy theory for C*-algebras. One basic idea of the setup is to merge C*-algebras and spaces studied in algebraic topology into one category comprising C*-spaces. These objects are suitable fodder for standard homotopy theoretic moves, leading... more...
- Springer London 2011; US$ 109.00
This book explores the problem of nonsimply connected homotopy in the first nontrivial cases and presents a systematic rehabilitation of Hilbert's method of syzygies in the context of non-simply connected homotopy theory. more...