Foundations Of Combinatorial Topology

Shared by Open Archive Curator • mathematics, topology, euler characteristic • 1952

This book represents essentially a semester course in combinatorial topology which I have given several times at the Moscow National Uni­ versity. It contains a very rigorous but concise presentation of homology theory. The formal prerequisites are merely a few simple facts about func­ tions of a real variable, matrices, and commutative groups. Actually, how­ ever, considerable mathematical maturity is required of the reader. An essential defect in the book is its complete omission of examples, which are so indispensable for clarifying the geometric content of combinatorial topology. In this s