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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Mond, D., Nuño-Ballesteros, J.J. (2020). Calculating the Homology of the Image. In: Singularities of Mappings. Grundlehren der mathematischen Wissenschaften, vol 357. Springer, Cham. https://doi.org/10.1007/978-3-030-34440-5_10
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DOI: https://doi.org/10.1007/978-3-030-34440-5_10
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Publisher Name: Springer, Cham
Print ISBN: 978-3-030-34439-9
Online ISBN: 978-3-030-34440-5
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