General TopologyVan Nostrand, 1955 - 298 sayfa Aimed at graduate math students, this classic work is a systematic exposition of general topology and is intended to be a reference and a text. As a reference, it offers a reasonably complete coverage of the area, resulting in a more extended treatment than normally given in a course. As a text, the exposition in the earlier chapters proceeds at a pedestrian pace. A preliminary chapter covers those topics requisite to the main body of work. |
İçindekiler
PRELIMINARIES | 1 |
FUNCTIONS | 10 |
ALGEBRAIC CONCEPTS | 17 |
Telif Hakkı | |
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accumulation point axiom of countability belongs cardinal number cartesian product Cauchy Cauchy net closed sets closed subset closure cluster point compact set compact space compact subset compactification Consequently contains continuous functions coordinate space countable base defined definition dense disjoint equicontinuous equivalent family F family of functions finite number follows function f ƒ is continuous Hausdorff space hence homeomorphic identity jointly continuous lemma Let F linear locally compact locally finite members of F metric space neighborhood system non-void open cover open r-sphere open set open subset ordinal paracompact pointwise convergence positive number product space product topology proposition pseudo-metric pseudo-metric space quotient space quotient topology real numbers real-valued function satisfies sequence space is complete subbase subcover subfamily subspace THEOREM Let tion topological group topological space Tychonoff space uniform convergence uniform space uniform space X,u uniformly continuous union usual topology X X X