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Algebraic topology

Most popular at the top

  • 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...

  • AN EXCURSION IN DIAGRAMMATIC ALGEBRAby J. Scott Carter

    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...

  • 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...

  • Topological Analysisby Martin Všth

    De Gruyter 2012; US$ 182.00

    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 on the covered... 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. Professor... more...

  • Homotopy of Extremal Problemsby Stanislav V. Emelyanov; Sergey K. Korovin; Nikolai A. Bobylev; Alexander V. Bulatov

    De Gruyter 2007; US$ 238.00

    This 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 are considered,... more...

  • Combinatorial Homotopy and 4-Dimensional Complexesby Hans-Joachim Baues; Ronald Brown

    De Gruyter 1991; US$ 210.00

    Combinatorial Homotopy and 4-Dimensional Complexes (Architektur Auf Naxos Und Paros) more...

  • Statistics and Analysis of Shapesby Hamid Krim; Anthony Yezzi

    Springer 2007; US$ 109.00

    The subject of pattern analysis and recognition pervades many aspects of our daily lives, including user authentication in banking, object retrieval from databases in the consumer sector, and the omnipresent surveillance and security measures around sensitive areas. Shape analysis, a fundamental building block in many approaches to these applications,... more...

  • Algebraic Invariants of Linksby Jonathan Hillman

    World Scientific Publishing Company 2012; US$ 140.00

    This book serves as a reference on links and on the invariants derived via algebraic topology from covering spaces of link exteriors. It emphasizes the features of the multicomponent case not normally considered by knot-theorists, such as longitudes, the homological complexity of many-variable Laurent polynomial rings, the fact that links are not usually... more...

  • The Local Structure of Algebraic K-Theoryby BjÝrn Ian Dundas; Thomas G. Goodwillie; Randy McCarthy

    Springer 2012; US$ 129.00

    Algebraic K-theory encodes important invariants for several mathematical disciplines, spanning from geometric topology and functional analysis to number theory and algebraic geometry. As is commonly encountered, this powerful mathematical object is very hard to calculate. Apart from Quillen's calculations of finite fields and Suslin's calculation... more...