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Topology of Singular Spaces and Constructible Sheaves

  • Jörg Schürmann

Part of the Monografie Matematyczne book series (MONOGRAFIE, volume 63)

Table of contents

  1. Front Matter
    Pages i-x
  2. Jörg Schürmann
    Pages 1-16
  3. Jörg Schürmann
    Pages 81-140
  4. Jörg Schürmann
    Pages 207-268
  5. Jörg Schürmann
    Pages 269-373
  6. Jörg Schürmann
    Pages 375-431
  7. Back Matter
    Pages 433-454

About this book

Introduction

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.

Keywords

Algabraic topology Algebraic geometry Category theory Cohomology Derived category Localization Monodromy Morse theory Sheaves Singular spaces Triangulation homology

Authors and affiliations

  • Jörg Schürmann
    • 1
  1. 1.Westfälische Wilhelms-UniversitätMünsterGermany

Bibliographic information