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Categories (Mathematics)

Most popular at the top

  • Categorical Structures And Their Applications - Proceedings Of The North-west European Category Seminarby W. Gähler; G Preuss

    World Scientific 2004; US$ 101.00

    The book collects original research papers on applied categorical structures, most of which have been presented at the North-West European Category Seminar 2003 in Berlin. The spectrum of these mathematical results reflects the varied interests of Horst Herrlich ? one of the leading category theorists of the world ? to whom this volume is dedicated in view of his 65th birthday. The book contains applications of categorical methods in various branches of mathematics such as algebra, analysis, logic and topology, as well as fuzzy structures and computer science. At the end of the book the reader will find a complete list of Horst Herrlich?s publications. The proceedings have been selected for coverage in:. ? Index to Scientific & Technical Proceedings®... more...

  • The Algebra of Secondary Cohomology Operationsby Hans-Joachim Baues

    Springer 2006; US$ 169.00

    Computing the algebra of secondary cohomology operations, that enrich the structure of the Steenrod algebra, this book solves a long-standing problem on the algebra of secondary cohomology operations. It develops a different algebraic theory of such operations. The results have an impact on the Adams spectral sequence. more...

  • Virtual Topology and Functor Geometryby Fred Van Oystaeyen

    Taylor & Francis 2007; US$ 99.95

    Researchers consider intrinsically noncommutative spaces from the perspective of several branches of modern physics, including quantum gravity, string theory, and statistical physics. This work presents fresh ideas for the development of an intrinsically noncommutative geometry. It also covers Grothendieck categorical representations. more...

  • Categories, Allegoriesby P.J. Freyd; A. Scedrov

    Elsevier 1990; US$ 137.00

    General concepts and methods that occur throughout mathematics – and now also in theoretical computer science – are the subject of this book. It is a thorough introduction to Categories, emphasizing the geometric nature of the subject and explaining its connections to mathematical logic. The book should appeal to the inquisitive reader who has seen some basic topology and algebra and would like to learn and explore further. The first part contains a detailed treatment of the fundamentals of Geometric Logic, which combines four central ideas: natural transformations, sheaves, adjoint functors, and topoi. A special feature of the work is a general calculus of relations presented in the second part. This calculus offers another,... more...

  • Introduction to Homological Algebraby Joseph J. Rotman

    Elsevier 1979; US$ 127.00

    Introduction to Homological Algebra, 85 more...

  • Tool and Objectby Ralf Krömer

    Springer 2007; US$ 149.00

    Category theory is a general mathematical theory of structures and of structures of structures. This book describes the history of category theory whereby illuminating its symbiotic relationship to algebraic topology, homological algebra, algebraic geometry and mathematical logic and develops the connections with the epistemological significance. more...

  • An Introduction to Homological Algebraby Joseph Rotman

    Springer 2008; US$ 49.95

    Learning homological algebra is a two-stage affair. Firstly, one must learn the language of Ext and Tor, and what this describes. Secondly, one must be able to compute these things using a separate language. This title provides a treatment of homological algebra which approaches the subject in terms of its origins in algebraic topology. more...

  • From a Geometrical Point of Viewby John Symons

    Springer 2009; US$ 199.00

    Explores historical and philosophical aspects of category theory, trying there with to expose its significance in the mathematical landscape. This book offers a conceptual perspective on category theory and categorical logic. It is suitable for mathematicians, logicians, historians of contemporary mathematics, physicists and computer scientists. more...

  • Threading Homology through Algebraby Giandomenico Boffi; David Buchsbaum

    Oxford University Press, UK 2006; US$ 140.00

    Aimed at graduate students and researchers in mathematics, this book takes homological themes, such as Koszul complexes and their generalizations, and shows how these can be used to clarify certain problems in selected parts of algebra, as well as their success in solving a number of them. - ;Threading Homology through Algebra takes homological themes (Koszul complexes and their variations, resolutions in general) and shows how these affect the perception of certain problems in selected parts of algebra, as well as their success in solving a number of them. The text deals with regular local rings, depth-sensitive complexes, finite free resolutions, letter-place algebra, Schur and Weyl modules, Weyl-Schur complexes and determinantal ideals.... more...

  • Towards Higher Categoriesby John C. Baez; J.Peter May

    Springer 2010; US$ 119.00

    The purpose of this book is to give background for those who would like to delve into some higher category theory. It is not a primer on higher category theory itself. It begins with a paper by John Baez and Michael Shulman which explores informally, by analogy and direct connection, how cohomology and other tools of algebraic topology are seen through the eyes of n-category theory.The idea is to give some of the motivations behind this subject. There are then two survey articles, by Julie Bergner and Simona Paoli, about (infinity,1) categories and about the algebraic modelling of homotopy n-types. These are areas that are particularly well understood, and where a fully integrated theory exists. The main focus of the book is on the richness... more...