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#### 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...

#### The Geometry of Moduli Spaces of Sheaves

Cambridge University Press 2010; US$ 60.00This highly regarded book is back in print and now updated to reflect recent advances in the field. more...

#### A History of Algebraic and Differential Topology, 1900 - 1960

Birkhäuser Boston 2009; US$ 109.00Written by a world-renowned mathematician, this well informed and classic text traces the history of algebraic topology, beginning with its creation in the early 1900s. It goes on to describe in detail the important theories that were discovered before 1960. 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...

#### Graph Coloring Problems

Wiley 2011; US$ 189.00Contains a wealth of information previously scattered in research journals, conference proceedings and technical reports. Identifies more than 200 unsolved problems. Every problem is stated in a self-contained, extremely accessible format, followed by comments on its history, related results and literature. The book will stimulate research and help... more...

#### Etale Cohomology Theory

World Scientific Publishing Company 2011; US$ 130.00Etale cohomology is an important branch in arithmetic geometry. This book covers the main materials in SGA 1, SGA 4, SGA 4 1/2 and SGA 5 on etale cohomology theory, which includes decent theory, etale fundamental groups, Galois cohomology, etale cohomology, derived categories, base change theorems, duality, and l-adic cohomology. The prerequisites... more...

#### INTRODUCTORY LECTURES ON KNOT THEORY

World Scientific Publishing Company 2011; US$ 134.00This volume consists primarily of survey papers that evolved from the lectures given in the school portion of the meeting and selected papers from the conference. Knot theory is a very special topological subject: the classification of embeddings of a circle or collection of circles into three-dimensional space. This is a classical topological problem... more...

#### AN EXCURSION IN DIAGRAMMATIC ALGEBRA

World Scientific Publishing Company 2011; US$ 93.00The aim of this book is to give as detailed a description as is possible of one of the most beautiful and complicated examples in low-dimensional topology. This example is a gateway to a new idea of higher dimensional algebra in which diagrams replace algebraic expressions and relationships between diagrams represent algebraic relations. The reader... more...

#### Syzygies and Homotopy Theory

Springer London 2011; US$ 119.00This 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...