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#### Simplicial Homotopy Theory

Birkhäuser Basel 2009; US$ 89.99This 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...

#### Shape Theory

Elsevier Science 1982; US$ 19.95North-Holland Mathematical Library, Volume 26: Shape Theory: The Inverse System Approach presents a systematic introduction to shape theory by providing background materials, motivation, and examples, including shape theory and invariants, pro-groups, shape fibrations, and metric compacta. The publication first ponders on the foundations of shape... 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$ 129.00This 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$ 301.00Shape 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$ 69.99Homotopy 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$ 109.00This 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$ 252.00This monograph provides a thorough treatment of parameter-dependent extremal problems with local minimum values that remain unchanged under changes of the parameter. The authors consider the theory as well the practical treatment of those problems, both in finite-dimensional as well as in infinite-dimensional spaces. Various applications... more...