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  3. Singular Intersection Homology
  • Cited by 14
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    • Publisher:
      Cambridge University Press
      Publication date:
      September 2020
      September 2020
      ISBN:
      9781316584446
      9781107150744
      DOI:
      https://doi.org/10.1017/9781316584446
      Dimensions:
      (244 x 170 mm)
      Weight & Pages:
      1.5kg, 824 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics (general), Mathematics, Geometry and Topology
      Series:
      New Mathematical Monographs (33)
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    Subjects:
    Mathematics (general), Mathematics, Geometry and Topology
    Series:
    New Mathematical Monographs (33)
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    Book description

    Intersection homology is a version of homology theory that extends Poincaré 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.

    Reviews

    ‘… a detailed and meticulous presentation of intersection homology by singular and PL chains.’

    Daniel Tanré Source: 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 Source: MathSciNet

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