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An Introduction to Algebraic Topology
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An Introduction to Algebraic Topology - new book

ISBN: 9780387966786

There is a canard that every textbook of algebraic topology either ends with the definition of the Klein bottle or is a personal communication to J. H. C. Whitehead. Of course, this is fa… More...

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An Introduction to Algebraic Topology / Joseph J. Rotman / Buch / Graduate Texts in Mathematics / HC runder Rücken kaschiert / xiv / Englisch / 1998 / Springer US / EAN 9780387966786 - Rotman, Joseph J.
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Rotman, Joseph J.:

An Introduction to Algebraic Topology / Joseph J. Rotman / Buch / Graduate Texts in Mathematics / HC runder Rücken kaschiert / xiv / Englisch / 1998 / Springer US / EAN 9780387966786 - hardcover

1998, ISBN: 9780387966786

[ED: Gebunden], [PU: Springer US], A clear exposition, with exercises, of the basic ideas of algebraic topology. Suitable for a two-semester course at the beginning graduate level, it ass… More...

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An Introduction to Algebraic Topology (Graduate Texts in Mathematics, 119, Band 119) - Rotman, Joseph J.
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Rotman, Joseph J.:
An Introduction to Algebraic Topology (Graduate Texts in Mathematics, 119, Band 119) - First edition

1988

ISBN: 9780387966786

Hardcover

Springer, Gebundene Ausgabe, Auflage: 1st ed. 1988. Corr. 4th printing 1998, 451 Seiten, Publiziert: 1988-08-17T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 95 black & white illustrati… More...

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An Introduction to Algebraic Topology (Graduate Texts in Mathematics, 119, Band 119) - Rotman, Joseph J.
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Rotman, Joseph J.:
An Introduction to Algebraic Topology (Graduate Texts in Mathematics, 119, Band 119) - First edition

1988, ISBN: 9780387966786

Hardcover

Springer, Gebundene Ausgabe, Auflage: 1st ed. 1988. Corr. 4th printing 1998, 451 Seiten, Publiziert: 1988-08-17T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 95 black & white illustrati… More...

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An Introduction to Algebraic Topology (Graduate Texts in Mathematics, 119, Band 119) - Rotman, Joseph J.
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Rotman, Joseph J.:
An Introduction to Algebraic Topology (Graduate Texts in Mathematics, 119, Band 119) - First edition

1988, ISBN: 9780387966786

Hardcover

Springer, Gebundene Ausgabe, Auflage: 1st ed. 1988. Corr. 4th printing 1998, 451 Seiten, Publiziert: 1988-08-17T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 95 black & white illustrati… More...

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An Introduction to Algebraic Topology (Graduate Texts in Mathematics, 119, Band 119)

A clear exposition, with exercises, of the basic ideas of algebraic topology. Suitable for a two-semester course at the beginning graduate level, it assumes a knowledge of point set topology and basic algebra. Although categories and functors are introduced early in the text, excessive generality is avoided, and the author explains the geometric or analytic origins of abstract concepts as they are introduced.

Details of the book - An Introduction to Algebraic Topology (Graduate Texts in Mathematics, 119, Band 119)


EAN (ISBN-13): 9780387966786
ISBN (ISBN-10): 0387966781
Hardcover
Paperback
Publishing year: 2007
Publisher: Springer
460 Pages
Weight: 0,871 kg
Language: eng/Englisch

Book in our database since 2007-04-11T12:09:40-04:00 (New York)
Detail page last modified on 2024-01-27T16:22:04-05:00 (New York)
ISBN/EAN: 0387966781

ISBN - alternate spelling:
0-387-96678-1, 978-0-387-96678-6
Alternate spelling and related search-keywords:
Book author: joseph rotman
Book title: algebraic topology, algebra, introduction, algebric topology, text, graduate texts mathematics, 119


Information from Publisher

Author: Joseph J. Rotman
Title: Graduate Texts in Mathematics; An Introduction to Algebraic Topology
Publisher: Springer; Springer US
437 Pages
Publishing year: 1988-08-17
New York; NY; US
Printed / Made in
Language: English
67,36 € (DE)
69,25 € (AT)
98,19 CHF (CH)
POD
XIV, 437 p.

BB; Hardcover, Softcover / Mathematik/Geometrie; Algebraische Topologie; Verstehen; Algebraic topology; CW complex; Fundamental group; Homotopy; Homotopy group; Hurewicz theorem; Loop group; cohomology; cohomology group; fibrations; function space; homology; point set topology; Algebraic Topology; EA; BC

0 Introduction.- Notation.- Brouwer Fixed Point Theorem.- Categories and Functors.- 1.Some Basic Topological Notions.- Homotopy.- Convexity, Contractibility, and Cones.- Paths and Path Connectedness.- 2 Simplexes.- Affine Spaces.- Affine Maps.- 3 The Fundamental Group.- The Fundamental Groupoid.- The Functor ?1.- ?1(S1).- 4 Singular Homology.- Holes and Green’s Theorem.- Free Abelian Groups.- The Singular Complex and Homology Functors.- Dimension Axiom and Compact Supports.- The Homotopy Axiom.- The Hurewicz Theorem.- 5 Long Exact Sequences.- The Category Comp.- Exact Homology Sequences.- Reduced Homology.- 6 Excision and Applications.- Excision and Mayer-Vietoris.- Homology of Spheres and Some Applications.- Barycentric Subdivision and the Proof of Excision.- More Applications to Euclidean Space.- 7 Simplicial Complexes.- Definitions.- Simplicial Approximation.- Abstract Simplicial Complexes.- Simplicial Homology.- Comparison with Singular Homology.- Calculations.- Fundamental Groups of Polyhedra.- The Seifert-van Kampen Theorem.- 8 CW Complexes.- Hausdorff Quotient Spaces.- Attaching Cells.- Homology and Attaching Cells.- CW Complexes.- Cellular Homology.- 9 Natural Transformations.- Definitions and Examples.- Eilenberg-Steenrod Axioms.- Chain Equivalences.- Acyclic Models.- Lefschetz Fixed Point Theorem.- Tensor Products.- Universal Coefficients.- Eilenberg-Zilber Theorem and the Künneth Formula.- 10 Covering Spaces.- Basic Properties.- Covering Transformations.- Existence.- Orbit Spaces.- 11 Homotopy Groups.- Function Spaces.- Group Objects and Cogroup Objects.- Loop Space and Suspension.- Homotopy Groups.- Exact Sequences.- Fibrations.- A Glimpse Ahead.- 12 Cohomology.- Differential Forms.- Cohomology Groups.- Universal Coefficients Theorems for Cohomology.-Cohomology Rings.- Computations and Applications.- Notation.

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