Abstract
In this article the homology of simploidal sets is studied. Simploidal sets generalize both simplicial complexes and cubical complexes, more precisely cells of simplicial sets are cartesian products of simplices. We define one homology for simploidal sets and we prove that this homology is equivalent to the homology usually defined on simplicial complexes.
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Peltier, S., Fuchs, L., Lienhardt, P. (2006). Homology of Simploidal Set. In: Kuba, A., Nyúl, L.G., Palágyi, K. (eds) Discrete Geometry for Computer Imagery. DGCI 2006. Lecture Notes in Computer Science, vol 4245. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11907350_20
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DOI: https://doi.org/10.1007/11907350_20
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-47651-1
Online ISBN: 978-3-540-47652-8
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