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Introduction to Topology by T. W. Gamelin and Robert Everist Greene sets out the connections between metric space topology and analysis, alongside selected topics in elementary algebraic topology. This is a 1983 edition paperback from Dover Publications Inc.
This volume introduces nontrivial ways in which metric space topology is applied to analysis, making the relationship between the two subjects explicit. Two chapters are devoted to metric space and point-set topology, while the remaining chapters turn to algebraic topology, with an emphasis on concrete results and minimal algebraic formalism.
Exercises are included throughout, along with selected answers, supporting independent study and course use.
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