Introduction to topology / Theodore W. Gamelin and Robert Everist Greene.

Por: Gamelin, Theodore WColaborador(es): Greene, Robert Everist, 1943-Editor: Mineola, N.Y. : Dover Publications, 1999Edición: 2nd edDescripción: xii, 234 p. : il. ; 24 cmISBN: 0486406806 (pbk.)Tema(s): TopologyOtra clasificación: 54-01 (55-01)
Contenidos:
 CONTENTS
 ONE
METRIC SPACES [1]
1. Open and closed sets [2]
2. Completeness [9]
3. The real line [13]
4. Products of metric spaces [16]
5. Compactness [19]
6. Continuous functions [26]
7. Normed linear spaces [30]
8. The contraction principle [39]
9. The Frechet derivative [47]
 TWO
TOPOLOGICAL SPACES [59]
1. Topological spaces [60]
2. Subspaces [64]
3. Continuous functions [65]
4. Base for a topology [69]
5. Separation axioms [72]
6. Compactness [78]
7. Locally compact spaces [83]
8. Connectedness [85]
9. Path connectedness [89]
10. Finite product spaces [91]
11. Set theory and Zorn’s lemma [96]
12. Infinite product spaces [99]
13. Quotient spaces [104]
 THREE
HOMOTOPY THEORY [109]
1. Groups [109]
2. Homotopic paths [112]
3. The fundamental group [118]
4. Induced homomorphisms [122]
5. Covering spaces [124]
6. Some applications of the index [132]
7.Homotopic maps [136]
8. Maps into the punctured plane [141]
9. Vector fields [146]
10. The Jordan Curve Theorem [153]
FOUR HIGHER DIMENSIONAL HOMOTOPY [161]
1. Higher homotopy groups [162]
2. Noncontractibility of Sn [166]
3. Simplexes and barycentric subdivision [171]
4. Approximation by piecewise linear maps [178]
5. Degrees of maps [182]
BIBLIOGRAPHY [192]
LIST OF NOTATIONS [193]
SOLUTIONS TO SELECTED EXERCISES [195]
List(s) this item appears in: Textos de topología algebraica (MSC 55-01)
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TOPOLOGÍA

Libros Libros Instituto de Matemática, CONICET-UNS
Libros ordenados por tema 54 G192-2 (Browse shelf) Ej. 2 Available A-8785
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An unabridged reprint of the first edition published by W.B. Saunders Company, Philadelphia in 1983. A new addendum has been added.

Incluye referencias bibliográficas (p. 192) e índice.

CONTENTS --
ONE --
METRIC SPACES [1] --
1. Open and closed sets [2] --
2. Completeness [9] --
3. The real line [13] --
4. Products of metric spaces [16] --
5. Compactness [19] --
6. Continuous functions [26] --
7. Normed linear spaces [30] --
8. The contraction principle [39] --
9. The Frechet derivative [47] --
TWO --
TOPOLOGICAL SPACES [59] --
1. Topological spaces [60] --
2. Subspaces [64] --
3. Continuous functions [65] --
4. Base for a topology [69] --
5. Separation axioms [72] --
6. Compactness [78] --
7. Locally compact spaces [83] --
8. Connectedness [85] --
9. Path connectedness [89] --
10. Finite product spaces [91] --
11. Set theory and Zorn’s lemma [96] --
12. Infinite product spaces [99] --
13. Quotient spaces [104] --
THREE --
HOMOTOPY THEORY [109] --
1. Groups [109] --
2. Homotopic paths [112] --
3. The fundamental group [118] --
4. Induced homomorphisms [122] --
5. Covering spaces [124] --
6. Some applications of the index [132] --
7.Homotopic maps [136] --
8. Maps into the punctured plane [141] --
9. Vector fields [146] --
10. The Jordan Curve Theorem [153] --
FOUR HIGHER DIMENSIONAL HOMOTOPY [161] --
1. Higher homotopy groups [162] --
2. Noncontractibility of Sn [166] --
3. Simplexes and barycentric subdivision [171] --
4. Approximation by piecewise linear maps [178] --
5. Degrees of maps [182] --
BIBLIOGRAPHY [192] --
LIST OF NOTATIONS [193] --
SOLUTIONS TO SELECTED EXERCISES [195] --

MR, 2000c:54001

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