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#### Simplicial Homotopy Theory

Birkhäuser Basel 2009; US$ 61.79This 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...

#### Two-Dimensional Homotopy and Combinatorial Group Theory

Cambridge University Press 1993; US$ 92.00This book considers the current state of knowledge in the geometric and algebraic aspects of two-dimensional homotopy theory. more...

#### Lectures on Homotopy Theory

Elsevier Science 1992; US$ 72.95The 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...

#### Algebraic Models in Geometry

OUP Oxford 2008; US$ 62.99A 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. more...

#### Stable Homotopy Around the Arf-Kervaire Invariant

Birkhäuser Basel 2009; US$ 101.43This 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...

#### Shape and Shape Theory

Wiley 2009; US$ 301.00 US$ 270.90Shape and Shape Theory D. G. Kendall Churchill College, University of Cambridge, UK D. Barden Girton College, University of Cambridge, UK T. K. Carne King's College, University of Cambridge, UK H. Le University of Nottingham, UK The statistical theory of shape is a relatively new topic and is generating a great deal of interest and comment by statisticians,... more...

#### Homotopy Theory of C*-Algebras

Springer Basel 2010; US$ 50.13Homotopy theory and C* algebras are central to contemporary mathematics. This book introduces a modern homotopy theory for C*-algebras that uses the concept of merging C*-algebras and spaces studied in algebraic topology into one category comprising C*-spaces. more...

#### Syzygies and Homotopy Theory

Springer London 2011; US$ 87.44This 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...

#### Homotopy of Extremal Problems

De Gruyter 2007; US$ 252.00The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community... more...

#### Combinatorial Homotopy and 4-Dimensional Complexes

De Gruyter 1991; US$ 224.00The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question.... more...