This volume explains nontrivial applications of metric space topology to analysis, clearly establishing their relationship. Also, topics from elementary algebraic topology focus on concrete results with minimal algebraic formalism. Two chapters consider metric space and point-set topology; the other 2 chapters discuss algebraic topological material. Includes exercises, selected answers, and 51 illustrations. 1983 edition.

1. Metric Spaces  

2. Topological Spaces 

3. Homotopy Theory 

4. Higher Dimensional Homotopy

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이화여자대학교 명예교수

성균관대학교 초빙교수

 

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