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    Introduction to Topology (Dover Books on Mathematics) (Paperback) By (author) T. W. Gamelin, By (author) Robert E. Greene

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    DescriptionA fresh approach to introductory topology, this volume explains nontrivial applications of metric space topology to analysis, clearly establishing their relationship. Also, topics from elementary algebraic topology focus on concrete results with minimal algebraic formalism. The first two chapters consider metric space and point-set topology; the second two, algebraic topological material. 1983 edition. Solutions to Selected Exercises. List of Notations. Index. 51 illustrations.


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    Title
    Introduction to Topology
    Authors and contributors
    By (author) T. W. Gamelin, By (author) Robert E. Greene
    Physical properties
    Format: Paperback
    Number of pages: 256
    Width: 152 mm
    Height: 229 mm
    Thickness: 15 mm
    Weight: 159 g
    Language
    English
    ISBN
    ISBN 13: 9780486406800
    ISBN 10: 0486406806
    Classifications

    BIC E4L: MAT
    Nielsen BookScan Product Class 3: S7.8
    B&T Book Type: NF
    LC subject heading:
    B&T Merchandise Category: SCI
    B&T General Subject: 710
    Ingram Subject Code: MA
    Libri: I-MA
    BIC subject category V2: PBP
    Warengruppen-Systematik des deutschen Buchhandels: 26260
    BISAC V2.8: MAT038000
    Abridged Dewey: 514
    DC22: 514
    DC21: 514
    LC subject heading:
    LC classification: QA611.G35, QA611 .G35 1999
    Thema V1.0: PBP
    Edition
    2, Revised
    Edition statement
    2nd Revised edition
    Publisher
    Dover Publications Inc.
    Imprint name
    Dover Publications Inc.
    Publication date
    30 September 1999
    Publication City/Country
    New York
    Table of contents
    ONE METRIC SPACES   1 Open and closed sets   2 Completeness   3 The real line   4 Products of metric spaces   5 Compactness   6 Continuous functions   7 Normed linear spaces   8 The contraction principle   9 The Frechet derivative TWO TOPOLOGICAL SPACES   1 Topological spaces   2 Subspaces   3 Continuous functions   4 Base for a topology   5 Separation axioms   6 Compactness   7 Locally compact spaces   8 Connectedness   9 Path connectedness   10 Finite product spaces   11 Set theory and Zorn's lemma   12 Infinite product spaces   13 Quotient spaces THREE HOMOTOPY THEORY   1 Groups   2 Homotopic paths   3 The fundamental group   4 Induced homomorphisms   5 Covering spaces   6 Some applications of the index   7 Homotopic maps   8 Maps into the punctured plane   9 Vector fields   10 The Jordan Curve Theorem FOUR HIGHER DIMENSIONAL HOMOTOPY   1 Higher homotopy groups   2 Noncontractibility of Sn   3 Simplexes and barycentric subdivision   4 Approximation by piecewise linear maps   5 Degrees of maps   BIBLIOGRAPHY   LIST OF NOTATIONS   SOLUTIONS TO SELECTED EXERCISES   INDEX