Abstract
We have presented in this book a theory of cubical homology. Our justification for this approach lies in the applications described in Chapters 1, 8, and 10, where we are required to work with large sets of data and for which we need a computationally effective means of computing homology. In all these examples the data itself naturally generates cubical sets. However, this cubical homology theory is unconventional, and furthermore, there is a wide variety of other homology theories available.
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© 2004 Springer-Verlag New York, Inc.
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Kaczynski, T., Mischaikow, K., Mrozek, M. (2004). Homology of Topological Polyhedra. In: Computational Homology. Applied Mathematical Sciences, vol 157. Springer, New York, NY. https://doi.org/10.1007/0-387-21597-2_11
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DOI: https://doi.org/10.1007/0-387-21597-2_11
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-2354-7
Online ISBN: 978-0-387-21597-6
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