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Algebraic topology

Most popular at the top

  • Homotopy Theory of C*-Algebrasby Paul Arne Østvær

    Springer Basel 2010; US$ 59.95

    Homotopy 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 Problemsby Tommy R. Jensen; Bjarne Toft

    Wiley 2011; US$ 183.00

    Contains 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 Theoryby Lei Fu

    World Scientific Publishing Company 2011; US$ 211.00

    Etale 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 THEORYby Louis H. Kauffman; Sofia Lambropoulou; Slavik Jablan

    World Scientific Publishing Company 2011; US$ 217.00

    This 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...


    World Scientific Publishing Company 2011; US$ 151.00

    The 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 Theoryby F.E.A. Johnson

    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...

  • Stable Modules and the D(2)-Problemby F. E. A. Johnson

    Cambridge University Press 2003; US$ 84.00

    This 2003 book deals with two fundamental problems in low-dimensional topology with an eye on wider context. more...

  • Low-Dimensional Topologyby R. Brown; T. L. Thickstun

    Cambridge University Press 1982; US$ 72.00

    This volume consists of the proceedings of a conference held at the University College of North Wales in July of 1979. more...

  • Topological Analysisby Martin Väth

    De Gruyter 2012; US$ 196.00

    This monograph is an introduction to some special aspects of topology, functional analysis, and analysis for the advanced reader. It also wants to develop a degree theory for function triples which unifies and extends most known degree theories. The book aims to be self-contained and many chapters could even serve as a basis of a course... more...

  • Discontinuous Groups of Isometries in the Hyperbolic Planeby Werner Fenchel; Jakob Nielsen; Asmus L. Schmidt

    De Gruyter 2002; US$ 182.00

    Fuchsian groups play a central role in various important fields of mathematics. The current book is based on what became known as the famous Fenchel-Nielsen manuscript. Jakob Nielsen (1890-1959) started this project well before World War II, Werner Fenchel (1905-1988) joined later and overtook the much of the preparation of the manuscript.... more...