Foundations of Combinatorial Topology

Concise, rigorous introduction to homology theory features applications to dimension theory and fixed-point theorems. Includes examinations of complexes and their Betti groups, invariance of the Betti groups, and continuous mappings and fixed points. Proofs are presented in a complete and careful manner. "...an extremely valuable addition to the literature of algebraic topology." — The Mathematical Gazette. 1952 edition.