Intersection homology is a version of homology theory that extends Poincare duality and its applications to stratified spaces, such as singular varieties. This is the first comprehensive expository book-length introduction to intersection homology from the viewpoint of singular and piecewise-linear chains. Recent breakthroughs have made this approach viable by providing intersection homology and cohomology versions of all the standard tools in the homology tool box, making the subject readily accessible to graduate students and researchers in topology as well as researchers from other fields. This text includes both new research material and new proofs of previously-known results in intersection homology, as well as treatments of many classical topics in algebraic and manifold topology. Written in a detailed but expository style, this book is suitable as an introduction to intersection homology or as a thorough reference.

The first expository book-length introduction to intersection homology from the viewpoint of singular and piecewise linear chains.

About the Author
Greg Friedman is Professor of Mathematics at Texas Christian University. Professor Friedman's primary research is in geometric and algebraic topology with particular emphases on stratified spaces and high-dimensional knot theory. He has given introductory lecture series on intersection homology at the University of Lille and the Fields Institute for Research in Mathematical Sciences. He has received grants from the National Science Foundation and the Simons Foundation.

Reviews
'... a detailed and meticulous presentation of intersection homology by singular and PL chains.' Daniel Tanre, European Mathematical Society
'Overall, this monograph is a splendid introduction to noncommutative function-theoretic operator theory. Anyone interested in modern operator theory, function theory, and related areas of analysis will find this book a valuable reference.' Jaydeb Sarkar, MathSciNet



Book Information
ISBN 9781107150744
Author Greg Friedman
Format Hardback
Page Count 869
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 1500g
Dimensions(mm) 175mm * 250mm * 50mm