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Algebraic topology

Most popular at the top

  • Homotopy Theory of C*-Algebrasby Paul Arne Østvær

    Springer Basel 2010; US$ 48.29

    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...

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

    Springer London 2012; US$ 95.46

    This book covers the connection between algebraic K-theory and Bökstedt, Hsiang and Madsen's topological cyclic homology and proves the difference between the theories are locally constant. It contains a proof of the integral Goodwillie ICM 1990 conjecture. more...

  • Syzygies and Homotopy Theoryby F.E.A. Johnson

    Springer London 2011; US$ 84.23

    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...

  • Configuration Spacesby Anders Björner; Fred Cohen; Corrado De Concini; Claudo Procesi; Mario Salvetti

    Scuola Normale Superiore 2013; US$ 28.07

    These proceedings contain the contributions of some of the participants in the "intensive research period" held at the De Giorgi Research Center in Pisa, during the period May-June 2010. The central theme of this research period was the study of configuration spaces from various points of view. This topic originated from the intersection of several... more...

  • Fixed Point Theory in Distance Spacesby William Kirk; Naseer Shahzad

    Springer International Publishing 2014; US$ 67.38

    This is a monograph on fixed point theory, covering the purely metric aspects of the theory?particularly results that do not depend on any algebraic structure of the underlying space. Traditionally, a large body of metric fixed point theory has been couched in a functional analytic framework. This aspect of the theory has been written about extensively.... more...

  • Braid Groupsby Christian Kassel; O. Dodane; Vladimir Turaev

    Springer New York 2008; US$ 49.44

    In this well-written presentation, motivated by numerous examples and problems, the authors introduce the basic theory of braid groups, highlighting several definitions that show their equivalence; this is followed by a treatment of the relationship between braids, knots and links. Important results then treat the linearity and orderability of the... more...

  • Differentialrechnung für Höhlenmenschen und andere Anfängerby Jürgen Beetz

    Springer Fachmedien Wiesbaden 2015; US$ 4.71

    Jürgen Beetz führt zuerst in den Ursprung der erdachten Geschichten der Mathematik aus der Steinzeit ein. Im Anschluss daran stellt er die zentrale Fragestellung der ?Infinitesimalrechnung? anhand eines einfachen Beispiels dar. Dann erläutert der Autor die Grundproblematik des Differenzierens: die Steigung (d. h. die Richtung der Tangente) an einer... more...

  • Cohomology of Finite Groupsby Alejandro Adem; R. James Milgram

    Springer Berlin Heidelberg 2013; US$ 95.46

    Some Historical Background This book deals with the cohomology of groups, particularly finite ones. Historically, the subject has been one of significant interaction between algebra and topology and has directly led to the creation of such important areas of mathematics as homo­ logical algebra and algebraic K-theory. It arose primarily in the 1920's... more...

  • Categories for the Working Mathematicianby Saunders Mac Lane

    Springer New York 2013; US$ 56.51

    Categories for the Working Mathematician provides an array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. The book then turns to adjoint functors, which provide a description of universal constructions, an analysis of the... more...

  • Simplicial Structures in Topologyby Davide L. Ferrario; Renzo A. Piccinini

    Springer New York 2010; US$ 50.49

    Simplicial Structures in Topology provides a clear and comprehensive introduction to the subject. Ideas are developed in the first four chapters. The fifth chapter studies closed surfaces and gives their classification. The last chapter of the book is devoted to homotopy groups, which are used in short introduction on obstruction theory. The text is... more...