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Algebraic Topology books

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  • Higher Topos Theory (AM-170) by Jacob Lurie
    Higher Topos Theory (AM-170) (English, Paperback)

    Higher category theory is generally regarded as technical and forbidding, but part of it is considerably more tractable: the theory of infinity-categories, higher categories in which all higher morphisms are assumed to be invertible. This title presents the foundations of this theory.

    $77.56 $91.78
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  • Categories for the Working Mathematician by Saunders Mac Lane
    Categories for the Working Mathematician (English, Hardback)

    This second edition includes a number of revisions and additions, including new chapters on topics of active interest: symmetric monoidal categories and braided monoidal categories, and the coherence theorems for them, as well as 2-categories and the higher dimensional categories which have recently come into prominence.

    $58.78 $74.95
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  • Algebraic Geometry and Arithmetic Curves by Qing Liu
    Algebraic Geometry and Arithmetic Curves (English, Paperback)

    This new-in-paperback edition provides an introduction to algebraic and arithmetic geometry, starting with the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. Clear explanations of both theory and applications, and almost 600 exercises are included in the text.

    $64.32 $85.00
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  • Differential Forms in Algebraic Topology by Raoul Bott
    Differential Forms in Algebraic Topology (English, Hardback)

    Developed from a first-year graduate course in algebraic topology, this text is an informal introduction to some of the main ideas of contemporary homotopy and cohomology theory. The materials are structured around four core areas: de Rham theory, the Cech-de Rham complex, spectral sequences, and characteristic classes.

    $54.96 $74.95
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  • Introduction to Topological Manifolds by John M. Lee
    Introduction to Topological Manifolds (English, Hardback)

    Extensively revised and updated, this volume provides an introduction to manifolds at the beginning graduate level. It contains the essential topological ideas involved with further study of manifolds, particularly in the context of differential geometry, algebraic topology, and related fields.

    $58.32 $74.95
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  • Monomial Ideals and Their Decompositions by W. Frank Moore
    Monomial Ideals and Their Decompositions (English, Paperback)

    This textbook on combinatorial commutative algebra focuses on properties of monomial ideals in polynomial rings and their connections with other areas of mathematics such as combinatorics, electrical engineering, topology, geometry, and homological algebra.

    $42.07 $49.99
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  • K-Theory by Max Karoubi
    K-Theory (English, Paperback)

    however, we assume that the reader is familiar with the basic definitions of homotopy theory: homotopy classes of maps and homotopy groups.Thus this book might be regarded as a fairly self-contained introduction to a "generalized cohomology theory".

    $58.79 $69.99
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  • New Mathematical Monographs: Global Homotopy Theory Series Number 34 by Stefan Schwede
    New Mathematical Monographs: Global Homotopy Theory Series Number 34 (English, Hardback)

    Global equivariant homotopy theory is presented in this self-contained book, ideal for graduate students and researchers in algebraic topology. It is a comprehensive research monograph at the forefront of current research, written by a leading expert. The book's many examples and sample calculations make it suitable for an advanced graduate class.

    $145.84 $195.00
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  • A Cp-Theory Problem Book by Vladimir V. Tkachuk
    A Cp-Theory Problem Book (English, Hardback)

    This third volume in Vladimir Tkachuk's series on Cp-theory problems applies all modern methods of Cp-theory to study compactness-like properties in function spaces and introduces the reader to the theory of compact spaces widely used in Functional Analysis.

    $78.12 $89.99
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  • Cambridge Studies in Advanced Mathematics: Formal Geometry and Bordism Operations Series Number 177 by Eric Peterson
    Cambridge Studies in Advanced Mathematics: Formal Geometry and Bordism Operations Series Number 177 (English, Hardback)

    This is the first book to provide a broad, conceptual introduction to the field of chromatic homotopy, an active area of current research. It will be useful for graduate students interested in modern developments in algebraic topology and their links to other fields, including algebraic geometry and mathematical physics.

    $77.15 $89.99
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  • Fundamentals of Algebraic Topology by Steven H. Weintraub
    Fundamentals of Algebraic Topology (English, Hardback)

    Fundamentals of Algebraic Topology

    $43.43 $69.99
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  • A Primer on Hilbert Space Theory by Carlo Alabiso
    A Primer on Hilbert Space Theory (English, Hardback)

    This introduction to Hilbert space will equip the reader for more demanding further study. It builds a pedagogic bridge between the rigorous style of mathematics and the more practical perspective of physicists.

    $53.47 $69.99
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  • Cohomologie Etale by Jean-Francois Boutot
    Cohomologie Etale (French, Paperback)

    ltats - avec une g n ralit minimale, souvent insuffisante pour les applications -et une id e de leur d monstration. Pour des r sultats complets, ou des d monstrationsd taill es, SGA 4 reste indispensable.Le "Rapport sur la formule des traces" contient une d monstration compl t dela formule des traces pour l'endomorphisme de Frobenius. La d monstration est celledonn e par Grothendieck dans SGA 5,...

    $41.21 $46.00
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  • Introduction to Algebraic Topology by A. H. Wallace
    Introduction to Algebraic Topology (English, Paperback)

    This self-contained treatment of algebraic topology assumes only some knowledge of real numbers and real analysis. The first three chapters focus on the basics of point-set topology, offering background to students approaching the subject with no previous knowledge. Readers already familiar with point-set topology can proceed directly to Chapter 4, which examines the fundamental group as well as...

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  • Sheaves in Geometry and Logic by Saunders MacLane
    Sheaves in Geometry and Logic (English, Paperback)

    Sheaves also appear in logic as carriers for models of set theory. Beginning with several examples, it explains the underlying ideas of topology and sheaf theory as well as the general theory of elementary toposes and geometric morphisms and their relation to logic.

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  • Algebraic K-Theory by Hvedri Inassaridze
    Algebraic K-Theory (English, Hardback)

    Algebraic K-theory is a modern branch of algebra which has many important applications in fundamental areas of mathematics connected with algebra, topology, algebraic geometry, functional analysis and algebraic number theory.

    $209.73
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  • Introduction to Topological Manifolds by John Lee
    Introduction to Topological Manifolds (English, Paperback)

    Extensively revised and updated, this volume provides an introduction to manifolds at the beginning graduate level. It contains the essential topological ideas involved with further study of manifolds, particularly in the context of differential geometry, algebraic topology, and related fields.

    $74.95
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  • Associahedra, Tamari Lattices and Related Structures by Folkert Muller-Hoissen
    Associahedra, Tamari Lattices and Related Structures (English, Paperback)

    Tamari lattices can be realized in terms of polytopes called associahedra, which in fact also appeared first in Tamari's thesis. On the occasion of Dov Tamari's centennial birthday, this book provides an introduction to topical research related to Tamari's work and ideas.

    $128.29 $139.00
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  • Topology by S. Levy
    Topology (English, Hardback)

    - Fundamental Concepts. -Topological Vector Spaces.- The Quotient Topology. -Completion of Metric Spaces. - Homotopy. - The TwoCountability Axioms. - CW-Complexes. - Construction ofContinuous Functions on Topological Spaces. - CoveringSpaces. - The Theorem of Tychonoff. - Set Theory (by T. - References. - Table of Symbols.

    $59.99
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  • Algebraic Topology by William Fulton
    Algebraic Topology (English, Paperback)

    Rather than choosing one point of view of modem topology (homotopy theory, simplicial complexes, singular theory, axiomatic homology, differ- ential topology, etc.), we concentrate our attention on concrete prob- lems in low dimensions, introducing only as much algebraic machin- ery as necessary for the problems we meet.

    $49.95
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