This stimulating introduction employs the language of point set topology to define and discuss topological groups. It examines set-theoretic topology and its applications in function spaces as well as homotopy and the fundamental group. Well-chosen exercises and problems serve as reinforcements. 1967 edition. Includes 99 illustrations.
Unabridged republication of the 1988 Dover edition.
Problems in Modern Mathematics by Stanislaw M. Ulam A distinguished mathematician considers problems in several fields of mathematics, including set theory, algebra, metric and topological spaces, topological groups, analysis, physical systems, and the use of computers as a heuristic aid.