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Topology of Singular Spaces: Motivation, Overview

  • Laurenţiu G. Maxim
Chapter
Part of the Graduate Texts in Mathematics book series (GTM, volume 281)

Abstract

In this chapter, we overview the main results and properties of the (co)homology of manifolds, and show in examples that these results fail to be true for singular spaces. This motivates the use of intersection homology, which recovers the corresponding results in the singular context.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Laurenţiu G. Maxim
    • 1
  1. 1.Department of MathematicsUniversity of Wisconsin-MadisonMadisonUSA

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