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1 - Introduction

Published online by Cambridge University Press:  18 September 2020

Greg Friedman
Affiliation:
Texas Christian University
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Summary

We motivate intersection homology theory by discussing how Poincaré duality fails on spaces with singularities. We see that one difficulty is the failure of general position, explaining why generalizations of general position will play an important role in the definition of intersection homology, which is a variant of simplicial or singular homology that recovers a version of Poincaré duality for singular spaces. We also discuss some conventions that will hold throughout the book and provide a quick overview of the difference between GM and non-GM intersection homology. We also provide a chapter-by-chapter outline of the rest of the book.

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Publisher: Cambridge University Press
Print publication year: 2020

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  • Introduction
  • Greg Friedman, Texas Christian University
  • Book: Singular Intersection Homology
  • Online publication: 18 September 2020
  • Chapter DOI: https://doi.org/10.1017/9781316584446.002
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  • Introduction
  • Greg Friedman, Texas Christian University
  • Book: Singular Intersection Homology
  • Online publication: 18 September 2020
  • Chapter DOI: https://doi.org/10.1017/9781316584446.002
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Introduction
  • Greg Friedman, Texas Christian University
  • Book: Singular Intersection Homology
  • Online publication: 18 September 2020
  • Chapter DOI: https://doi.org/10.1017/9781316584446.002
Available formats
×