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General Topology

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General Topology

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.

Unabridged republication of the edition published by Addison-Wesley Publishing Company, Reading, Massachusetts, 1970.
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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.

Unabridged republication of the edition published by Addison-Wesley Publishing Company, Reading, Massachusetts, 1970.
mathematical analysis;algebra text;math types;theory background;algebraic topology;graduate text;first-year graduate;beginning graduate;galois theory;undergraduate mathematics;hilbert space;level math;abstract algebra;self study;mathematical rigor;math text;algebra class;introduced concepts;related concepts;math student;particular statement;linear algebra;advanced undergraduate;undergraduate level;exactly 200;highly disorganized;graduate level;introductory text;graduate students;graduate school;trigonometry;gre;fulton;massey;greenberg;springer;tiles;dover;differentiable;bartle;smirnov;pinter;lemma;geometry;homology;croom;topologies;manifolds;counterexamples;10th;nontrivial;counter-examples;topological;mendelson;compactness;self-study;cambridge;axioms;cole;equivalence;theorems;differential;foote;quotient;willard;metric;connectedness;proofs;undergrad;mathematician;compact;intuition;rigorous;intuitive;spaces;definitions;exercises;books on self studies;books on math types;books on mathematical analysis;books on galois theories;books on graduate levels;books on graduate texts;books on introductory texts;books on algebra texts;books on math students;books on theory backgrounds;books on undergraduate mathematics;books on linear algebras;books on abstract algebras;books on algebraic topologies;books on hilbert spaces;books on math texts;books on level maths;books on advanced undergraduates;books on algebra classes;books on undergraduate levels;books on related concepts

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General Topology | Dover Publications