Courier Corporation, 1 janv. 2004 - 369 pages
Among the best available reference introductions to general topology, this volume is appropriate for advanced undergraduate and beginning graduate students. Its treatment encompasses two broad areas of topology: "continuous topology," represented by sections on convergence, compactness, metrization and complete metric spaces, uniform spaces, and function spaces; and "geometric topology," covered by nine sections on connectivity properties, topological characterization theorems, and homotopy theory. Many standard spaces are introduced in the related problems that accompany each section (340 exercises in all). The text's value as a reference work is enhanced by a collection of historical notes, a bibliography, and index. 1970 edition. 27 figures.
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algebraic applied axiom Banach space base basic bounded called closed sets closure collection compact compact spaces compactification complete condition connected consisting containing continuous functions continuous map converges countable defined Definition denote dense describe developed disconnected discrete disjoint easily elements equivalent example Exercise exists extension fact filter finite given gives Hausdorff space hence homeomorphic homotopy induced intersection interval introduced linear locally compact Math meets metric space nhood nhood base nonempty normal Note obtained open cover open set paracompact plane Problems Proof proved proximity quotient refinement relation result retract separable sequence space X structure subset subspace sufficient Suppose theorem theory topological space topology Tychonoff uniform cover uniform space uniformizable uniformly union usual weak