Fresh approach explains nontrivial applications of metric space topology to analysis; topics from elementary algebraic topology focus on concrete results with minimal formalism. First two metric space, point-set topology; second two, algebraic topology. 1983 ed. Solutions to Selected Exercises. 51 illus.A fresh approach to introductory topology, 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. The first two chapters consider metric space and point-set topology; the second two, algebraic topological material. 1983 ed. Solutions to Selected Exercises. List of Notations. Index. 51 illus.
This is a great little intro to topology... and one more reason to love Dover books for their tiny, inexpensive textbooks.
Well-motivated and lots of interesting problems. I can't compare it much to other topology books, but my general impression is that it covers less than Munkres.