Title
A First Course in Topology: An Introduction to Mathematical Thinking (Dover Books on Mathematics),Used
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Students must prove all of the theorems in this undergraduatelevel text, which features extensive outlines to assist in study and comprehension. Thorough and wellwritten, the treatment provides sufficient material for a oneyear 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 pointset 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.
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