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Algebraic topology

Most popular at the top

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

    Springer New York 2010; US$ 69.99

    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...

  • Spectra and the Steenrod Algebraby H.R. Margolis

    Elsevier Science 2011; US$ 148.25

    I have intended this book to be more than just the sum of its chapters, and the introduction is, in part, an attempt to spell out what the more is. Algebraic topology is the study of topological problems by algebraic means. More precisely, this has come to be framed as the study of topological categories by means of functors to algebraic categories.... more...

  • Stable Homotopy Around the Arf-Kervaire Invariantby Victor P. Snaith

    Birkhäuser Basel 2009; US$ 129.00

    This 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...

  • 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...

  • Suites de Sturm, indice de Maslov et périodicité de Bottby Jean Barge; Jean Lannes

    Birkhäuser Basel 2008; US$ 69.99

    La théorie classique des suites de Sturm fournit un algorithme pour déterminer le nombre de racines d?un polynôme à coefficients réels contenues dans un intervalle donné. L?objet principal de ce mémoire est de montrer qu?une généralisation adéquate de la théorie des suites de Sturm fournit entre autres choses: une notion d?indice de Maslov pour... more...

  • Symmetric Bendsby Roger E. Miles

    World Scientific Publishing Company 1995; US$ 39.00

    A bend is a knot securely joining together two lengths of cord (or string or rope), thereby yielding a single longer length. There are many possible different bends, and a natural question that has probably occurred to many is: “Is there a ‘best’ bend and, if so, what is it?”Most of the well-known bends happen to be symmetric... 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...

  • 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...

  • Topological Degree Theory and Applicationsby Yeol Je Cho; Yu-Qing Chen

    CRC Press 2006; US$ 115.95

    Since the 1960s, many researchers have extended topological degree theory to various non-compact type nonlinear mappings, and it has become a valuable tool in nonlinear analysis. Presenting a survey of advances made in generalizations of degree theory during the past decade, this book focuses on topological degree theory in normed spaces and its applications.... more...

  • Vector Bundles in Algebraic Geometryby N. J. Hitchin; P. E. Newstead; W. M. Oxbury

    Cambridge University Press 1995; US$ 84.00

    This book is a collection of survey articles by the main speakers at the 1993 Durham symposium on vector bundles in algebraic geometry. more...