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A First Course in Topology
Students must prove all of the theorems in this undergraduate-level text, which features extensive outlines to assist in study and comprehension. Thorough and well-written, the treatment provides sufficient material for a one-year undergraduate course. The logical presentation anticipates students' questions, and complete definitions and expositions of topics relate new concepts to previously discussed subjects.
Most of the material focuses on point-set topology with the exception of the last chapter. Topics include sets and functions, infinite sets and transfinite numbers, topological spaces and basic concepts, product spaces, connectivity, and compactness. Additional subjects include separation axioms, complete spaces, and homotopy and the fundamental group. Numerous hints and figures illuminate the text.
Most of the material focuses on point-set topology with the exception of the last chapter. Topics include sets and functions, infinite sets and transfinite numbers, topological spaces and basic concepts, product spaces, connectivity, and compactness. Additional subjects include separation axioms, complete spaces, and homotopy and the fundamental group. Numerous hints and figures illuminate the text.
Reprint of The Williams & Wilkins Company, Baltimore, 1975 edition.
theorems;undergrad;outlines;comprehension;one year;logical;questions;1975;mathematics;topology;textbook;basic concepts;sets and functions;infinite sets;transfinite numbers;topological spaces;product spaces;connectivity;compactness;separation axioms;complete spaces;homotopy;fundamental group;undergraduate level textbook;definitions;exposition of topics;point set topology;science and math$5.23
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Description
Students must prove all of the theorems in this undergraduate-level text, which features extensive outlines to assist in study and comprehension. Thorough and well-written, the treatment provides sufficient material for a one-year undergraduate course. The logical presentation anticipates students' questions, and complete definitions and expositions of topics relate new concepts to previously discussed subjects.
Most of the material focuses on point-set topology with the exception of the last chapter. Topics include sets and functions, infinite sets and transfinite numbers, topological spaces and basic concepts, product spaces, connectivity, and compactness. Additional subjects include separation axioms, complete spaces, and homotopy and the fundamental group. Numerous hints and figures illuminate the text.
Most of the material focuses on point-set topology with the exception of the last chapter. Topics include sets and functions, infinite sets and transfinite numbers, topological spaces and basic concepts, product spaces, connectivity, and compactness. Additional subjects include separation axioms, complete spaces, and homotopy and the fundamental group. Numerous hints and figures illuminate the text.
Reprint of The Williams & Wilkins Company, Baltimore, 1975 edition.
theorems;undergrad;outlines;comprehension;one year;logical;questions;1975;mathematics;topology;textbook;basic concepts;sets and functions;infinite sets;transfinite numbers;topological spaces;product spaces;connectivity;compactness;separation axioms;complete spaces;homotopy;fundamental group;undergraduate level textbook;definitions;exposition of topics;point set topology;science and math
