ENGLISH

Topology of Singular Spaces and Constructible Sheaves

By Jörg Schürmann (auth.)

Book information

Publisher
Birkhäuser Basel
Year
2003
ISBN
978-3-0348-9424-1, 978-3-0348-8061-9
DOI
10.1007/978-3-0348-8061-9
Language
english
Format
PDF
Filesize
10 MB (10785764 bytes)
Series
Monografie Matematyczne 63
Edition
1
Pages
454\460
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Algebraic Geometry; Category TheoryHomological Algebra; Algebraic Topology

Description

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.

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