Colloquium Publications 1930; 413 pp; softcover Volume: 12 ISBN10: 0821846035 ISBN13: 9780821846032 List Price: US$84 Member Price: US$67.20 Order Code: COLL/12
 Lefschetz's Topology was written in the period in between the beginning of topology, by Poincaré, and the establishment of algebraic topology as a wellformed subject, separate from pointset or geometric topology. At this time, Lefschetz had already proved his first fixedpoint theorems. In some sense, the present book is a description of the broad subject of topology into which Lefschetz's theory of fixed points fits. Lefschetz takes the opportunity to describe some of the important applications of his theory, particularly in algebraic geometry, to problems such as counting intersections of algebraic varieties. He also gives applications to vector distributions, complex spaces, and Kronecker's characteristic theory. Readership Graduate students and research mathematicians interested in topology. Table of Contents  Elementary combinatorial theory of complexes
 Topological invariance of the homology characters
 Manifolds and their duality theorems
 Intersections of chains on a manifold
 Product complexes
 Transformations of manifolds, their coincidences and fixed points
 Infinite complexes and their applications
 Applications to analytical and algebraic varieties
 Bibliography
 Addenda
 Index
