Introduction to topology: Third edition
Highly regarded for its exceptional clarity, imaginative and instructive exercises, and fine writing style, this concise book offers an ideal introduction to the fundamentals of topology. It provides a simple, thorough survey of elementary topics, starting with set theory and advancing to metric and...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York
Dover Publications
1990
|
| Ausgabe: | Dover edition |
| Schriftenreihe: | Dover Books on Mathematics
|
| Schlagworte: | |
| Online-Zugang: | TUM01 |
| Zusammenfassung: | Highly regarded for its exceptional clarity, imaginative and instructive exercises, and fine writing style, this concise book offers an ideal introduction to the fundamentals of topology. It provides a simple, thorough survey of elementary topics, starting with set theory and advancing to metric and topological spaces, connectedness, and compactness. 1975 edition |
| Beschreibung: | 1 Online-Ressource (300 Seiten) |
| ISBN: | 9780486135090 0486135098 |
Internformat
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| 505 | 8 | |a Cover; Title Page; Copyright Page; Contents; Preface; 1 Theory of Sets; 1 Introduction; 2 Sets and subsets; 3 Set operations: union, intersection, and complement; 4 Indexed families of sets; 5 Products of sets; 6 Functions; 7 Relations; 8 Composition of functions and diagrams; 9 Inverse functions, extensions, and restrictions; 10 Arbitrary products; 2 Metric Spaces; 1 Introduction; 2 Metric spaces; 3 Continuity; 4 Open balls and neighborhoods; 5 Limits; 6 Open sets and closed sets; 7 Subspaces and equivalence of metric spaces; 8 An infinite dimensional Euclidean space; 3 Topological Spaces | |
| 505 | 8 | |a 1 Introduction2 Topological spaces; 3 Neighborhoods and neighborhood spaces; 4 Closure, interior, boundary; 5 Functions, continuity, homeomorphism; 6 Subspaces; 7 Products; 8 Identification topologies; 9 Categories and functors; 4 Connectedness; 1 Introduction; 2 Connectedness; 3 Connectedness on the real line; 4 Some applications of connectedness; 5 Components and local connectedness; 6 Path-connected topological spaces; 7 Homotopic paths and the fundamental group; 8 Simple connectedness; 5 Compactness; 1 Introduction; 2 Compact topological spaces; 3 Compact subsets of the real line | |
| 505 | 8 | |a 4 Products of compact spaces5 Compact metric spaces; 6 Compactness and the Bolzano-Weierstrass property; 7 Surfaces by identification; Bibliography; Index | |
| 520 | 3 | |a Highly regarded for its exceptional clarity, imaginative and instructive exercises, and fine writing style, this concise book offers an ideal introduction to the fundamentals of topology. It provides a simple, thorough survey of elementary topics, starting with set theory and advancing to metric and topological spaces, connectedness, and compactness. 1975 edition | |
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Datensatz im Suchindex
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| author | Mendelson, Bert 1926-1988 |
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| contents | Cover; Title Page; Copyright Page; Contents; Preface; 1 Theory of Sets; 1 Introduction; 2 Sets and subsets; 3 Set operations: union, intersection, and complement; 4 Indexed families of sets; 5 Products of sets; 6 Functions; 7 Relations; 8 Composition of functions and diagrams; 9 Inverse functions, extensions, and restrictions; 10 Arbitrary products; 2 Metric Spaces; 1 Introduction; 2 Metric spaces; 3 Continuity; 4 Open balls and neighborhoods; 5 Limits; 6 Open sets and closed sets; 7 Subspaces and equivalence of metric spaces; 8 An infinite dimensional Euclidean space; 3 Topological Spaces 1 Introduction2 Topological spaces; 3 Neighborhoods and neighborhood spaces; 4 Closure, interior, boundary; 5 Functions, continuity, homeomorphism; 6 Subspaces; 7 Products; 8 Identification topologies; 9 Categories and functors; 4 Connectedness; 1 Introduction; 2 Connectedness; 3 Connectedness on the real line; 4 Some applications of connectedness; 5 Components and local connectedness; 6 Path-connected topological spaces; 7 Homotopic paths and the fundamental group; 8 Simple connectedness; 5 Compactness; 1 Introduction; 2 Compact topological spaces; 3 Compact subsets of the real line 4 Products of compact spaces5 Compact metric spaces; 6 Compactness and the Bolzano-Weierstrass property; 7 Surfaces by identification; Bibliography; Index |
| ctrlnum | (OCoLC)1220885378 (DE-599)BVBBV046917132 |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | Dover edition |
| format | Electronic eBook |
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| index_date | 2024-07-03T15:30:04Z |
| indexdate | 2024-07-10T08:57:26Z |
| institution | BVB |
| isbn | 9780486135090 0486135098 |
| language | English |
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| spelling | Mendelson, Bert 1926-1988 Verfasser (DE-588)1219236667 aut Introduction to topology Third edition by Bert Mendelson Dover edition New York Dover Publications 1990 1 Online-Ressource (300 Seiten) txt rdacontent c rdamedia cr rdacarrier Dover Books on Mathematics Cover; Title Page; Copyright Page; Contents; Preface; 1 Theory of Sets; 1 Introduction; 2 Sets and subsets; 3 Set operations: union, intersection, and complement; 4 Indexed families of sets; 5 Products of sets; 6 Functions; 7 Relations; 8 Composition of functions and diagrams; 9 Inverse functions, extensions, and restrictions; 10 Arbitrary products; 2 Metric Spaces; 1 Introduction; 2 Metric spaces; 3 Continuity; 4 Open balls and neighborhoods; 5 Limits; 6 Open sets and closed sets; 7 Subspaces and equivalence of metric spaces; 8 An infinite dimensional Euclidean space; 3 Topological Spaces 1 Introduction2 Topological spaces; 3 Neighborhoods and neighborhood spaces; 4 Closure, interior, boundary; 5 Functions, continuity, homeomorphism; 6 Subspaces; 7 Products; 8 Identification topologies; 9 Categories and functors; 4 Connectedness; 1 Introduction; 2 Connectedness; 3 Connectedness on the real line; 4 Some applications of connectedness; 5 Components and local connectedness; 6 Path-connected topological spaces; 7 Homotopic paths and the fundamental group; 8 Simple connectedness; 5 Compactness; 1 Introduction; 2 Compact topological spaces; 3 Compact subsets of the real line 4 Products of compact spaces5 Compact metric spaces; 6 Compactness and the Bolzano-Weierstrass property; 7 Surfaces by identification; Bibliography; Index Highly regarded for its exceptional clarity, imaginative and instructive exercises, and fine writing style, this concise book offers an ideal introduction to the fundamentals of topology. It provides a simple, thorough survey of elementary topics, starting with set theory and advancing to metric and topological spaces, connectedness, and compactness. 1975 edition Topologie (DE-588)4060425-1 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Mathematics MATHEMATICS / Topology Electronic books (DE-588)4151278-9 Einführung gnd-content Topologie (DE-588)4060425-1 s Mathematik (DE-588)4037944-9 s DE-604 Erscheint auch als Druck-Ausgabe 978-0-486-66352-4 |
| spellingShingle | Mendelson, Bert 1926-1988 Introduction to topology Third edition Cover; Title Page; Copyright Page; Contents; Preface; 1 Theory of Sets; 1 Introduction; 2 Sets and subsets; 3 Set operations: union, intersection, and complement; 4 Indexed families of sets; 5 Products of sets; 6 Functions; 7 Relations; 8 Composition of functions and diagrams; 9 Inverse functions, extensions, and restrictions; 10 Arbitrary products; 2 Metric Spaces; 1 Introduction; 2 Metric spaces; 3 Continuity; 4 Open balls and neighborhoods; 5 Limits; 6 Open sets and closed sets; 7 Subspaces and equivalence of metric spaces; 8 An infinite dimensional Euclidean space; 3 Topological Spaces 1 Introduction2 Topological spaces; 3 Neighborhoods and neighborhood spaces; 4 Closure, interior, boundary; 5 Functions, continuity, homeomorphism; 6 Subspaces; 7 Products; 8 Identification topologies; 9 Categories and functors; 4 Connectedness; 1 Introduction; 2 Connectedness; 3 Connectedness on the real line; 4 Some applications of connectedness; 5 Components and local connectedness; 6 Path-connected topological spaces; 7 Homotopic paths and the fundamental group; 8 Simple connectedness; 5 Compactness; 1 Introduction; 2 Compact topological spaces; 3 Compact subsets of the real line 4 Products of compact spaces5 Compact metric spaces; 6 Compactness and the Bolzano-Weierstrass property; 7 Surfaces by identification; Bibliography; Index Topologie (DE-588)4060425-1 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4060425-1 (DE-588)4037944-9 (DE-588)4151278-9 |
| title | Introduction to topology Third edition |
| title_auth | Introduction to topology Third edition |
| title_exact_search | Introduction to topology Third edition |
| title_exact_search_txtP | Introduction to topology Third edition |
| title_full | Introduction to topology Third edition by Bert Mendelson |
| title_fullStr | Introduction to topology Third edition by Bert Mendelson |
| title_full_unstemmed | Introduction to topology Third edition by Bert Mendelson |
| title_short | Introduction to topology |
| title_sort | introduction to topology third edition |
| title_sub | Third edition |
| topic | Topologie (DE-588)4060425-1 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Topologie Mathematik Einführung |
| work_keys_str_mv | AT mendelsonbert introductiontotopologythirdedition |