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#### Simplicial Homotopy Theory

Springer 2009; US$ 69.99With the development of Quillen's concept of a closed model category and, in particular, a simplicial model category, the simplicial methods have become the primary way to describe non-abelian homological algebra and to address homotopy-theoretical issues in various fields, including algebraic K-theory. This book deals with these ideas. more...

#### Syzygies and Homotopy Theory

Springer 2011; US$ 109.00The most important invariant of a topological space is its fundamental group. When this is trivial, the resulting homotopy theory is well researched and familiar. In the general case, however, homotopy theory over nontrivial fundamental groups is much more problematic and far less well understood. Syzygies and Homotopy Theory explores the problem of... more...

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

Cambridge University Press 1993; US$ 87.00This book considers the current state of knowledge in the geometric and algebraic aspects of two-dimensional homotopy theory. more...

#### Moving Shape Analysis and Control

Taylor and Francis 2006; US$ 146.95Problems involving the evolution of two- and three-dimensional domains arise in many areas of science and engineering. Emphasizing an Eulerian approach, Moving Shape Analysis and Control: Applications to Fluid Structure Interactions presents valuable tools for the mathematical analysis of evolving domains. The book illustrates the efficiency of... more...

#### String Topology and Cyclic Homology

Springer 2006; US$ 39.95Deals 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...

#### 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

Oxford University Press, UK 2008; US$ 55.00A 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...

#### Statistical Models of Shape

Springer 2008; US$ 149.00Deformable shape models have wide application in computer vision and biomedical image analysis. This book addresses a key issue in shape modelling: establishment of a meaningful correspondence between a set of shapes. Correspondence has traditionally been established by manual annotation of the data, however this is a time-consuming and error-prone... more...

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

Springer 2009; US$ 129.00Describes important techniques of stable homotopy theory, applying them to the long-standing problem of the existence of framed manifolds with odd Arf-Kervaire invariant. This work opens with an account of the necessary algebraic topology background. more...

#### Shape and Shape Theory

Wiley 2009; US$ 283.00Shape 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...