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.
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