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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
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
| Erscheinungsjahr: | 2003 |
|---|---|
| Fachbereich: | Topologie |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: | Kartoniert / Broschiert |
| ISBN-13: | 9780486406800 |
| ISBN-10: | 0486406806 |
| UPC: | 800759406807 |
| EAN: | 0800759406807 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Greene, Robert Everist
Gamelin, T. W. |
| Hersteller: | Dover Publications Inc. |
| Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
| Maße: | 151 x 229 x 15 mm |
| Von/Mit: | Robert Everist Greene (u. a.) |
| Erscheinungsdatum: | 28.03.2003 |
| Gewicht: | 0,372 kg |
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