Overview
- A new cohomological approach to constructible sheaves on stratified spaces, which doesn't use the first isotopy lemma of Thom
- A self-contained approach to Morse theory for constructible sheaves, including a geometric introduction to the theory of characteristic cycles
- Very general vanishing and Lefschetz theorems of Artin-Grothendieck type in the complex algebraic and analytic context, which apply in particular to intersection (co)homology and perverse sheaves
Part of the book series: Monografie Matematyczne (MONOGRAFIE, volume 63)
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Table of contents (7 chapters)
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Front Matter
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Back Matter
Keywords
About this book
Assuming that the reader is familiar with sheaf theory, the book gives a self-contained introduction to the theory of constructible sheaves related to many kinds of singular spaces, such as cell complexes, triangulated spaces, semialgebraic and subanalytic sets, complex algebraic or analytic sets, stratified spaces, and quotient spaces. The relation to the underlying geometrical ideas are worked out in detail, together with many applications to the topology of such spaces. All chapters have their own detailed introduction, containing the main results and definitions, illustrated in simple terms by a number of examples. The technical details of the proof are postponed to later sections, since these are not needed for the applications.
Authors and Affiliations
Bibliographic Information
Book Title: Topology of Singular Spaces and Constructible Sheaves
Authors: Jörg Schürmann
Series Title: Monografie Matematyczne
DOI: https://doi.org/10.1007/978-3-0348-8061-9
Publisher: Birkhäuser Basel
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eBook Packages: Springer Book Archive
Copyright Information: Springer Basel AG 2003
Hardcover ISBN: 978-3-7643-2189-5Published: 24 October 2003
Softcover ISBN: 978-3-0348-9424-1Published: 30 October 2012
eBook ISBN: 978-3-0348-8061-9Published: 06 December 2012
Series ISSN: 0077-0507
Series E-ISSN: 2297-0274
Edition Number: 1
Number of Pages: X, 454
Topics: Algebraic Topology, Algebraic Geometry, Category Theory, Homological Algebra