Topology
This introduction to topology provides separate, in-depth coverage of both general topology and algebraic topology. Includes many examples and figures.
Read More ↓Title Statements
- Full title :Topology / James R. Munkres.
Summary
This introduction to topology provides separate, in-depth coverage of both general topology and algebraic topology. Includes many examples and figures.
Read More ↓Edition Statements
- Publication Date:©2000.
- Edition:2nd ed
Publication Statements
- Publisher(s):Prentice-Hall, Inc
- Place of Publication:Upper Saddle River, NJ
- Language:eng
- Publication Date:©2000.
The Physical Object
- Description:xvi, 537 pages : : illustrations ; : 25 cm
Edition Identifiers
- ISBN:0131816292, 9780131816299, 0131784498, 9780131784499
- oclc:ocm42683260
- LC Classification:QA611
- Dewey Decimal:514
Table of Contents
General topology : Set theory and logic : Fundamental concepts ; Functions ; Relations ; The integers and the real numbers ; Cartesian products ; Finite sets ; Countable and uncountable sets ; The principle of recursive definition ; Infinite sets and the axiom of choice ; Well-ordered sets ; The maximum principle -- Topological spaces and continuous functions : Topological spaces ; Basis for a topology ; The order topology ; The product topology on X x Y ; The subspace topology ; Closed sets and limit points ; Continuous functions ; The product topology ; The metric topology ; The metric topology (continued) ; The quotient topology -- Connectedness and compactness : Connected spaces ; Connected subspaces of the real line ; Components and local connectedness ; Compact spaces ; Compact subspaces of the real line ; Limit point compactness ; Local compactness -- Countability and separation axioms : The countability axioms ; The separation axioms ; Normal spaces ; The Urysohn lemma ; The Urysohn metrization theorem ; The Tietze extension theorem ; Imbeddings of manifolds -- Tychonoff theorem : The Tychonoff theorem ; The stone-Cech compactification -- Metrization theorems and paracompa…
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