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Calculating the Homology of the Image

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Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 357)

Abstract

We introduce the alternating homology of a space with a symmetric group action, and give a new construction of the image computing spectral sequence (ICSS), which computes the homology of the image of a finite map from the alternating homology of its multiple point spaces. We illustrate and motivate the ICSS with simple examples.

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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Mathematics InstituteUniversity of WarwickCoventryUK
  2. 2.Departament de MatemàtiquesUniversitat de ValènciaBurjassotSpain

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