Abstract
In this chapter, we briefly review the concept of homology, which lies at the center of our analysis concerning the structure of metallic glasses. Homology measures topological complexity, such as the number of connected components and holes, of given objects from the algebraic viewpoint.
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References
T. Kaczynski, K. Mischaikow, and M. Mrozek. Computational Homology, Springer Applied Mathematical Sciences vol. 157, 2004.
E. Frenkel. Love and Math: The Heart of Hidden Reality, Basic Books, 2013.
CHomP: Computational Homology Project. http://chomp.rutgers.edu/index.html.
H. Edelsbrunner and J. Harer. Computational Topology: An Introduction. American Mathematical Society, 2010.
RedHom: a part of the CAPD project. http://capd.sourceforge.net/capdRedHom/.
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Hirata, A., Matsue, K., Chen, M. (2016). Overview of Cubical Homology. In: Structural Analysis of Metallic Glasses with Computational Homology. SpringerBriefs in the Mathematics of Materials, vol 2. Springer, Tokyo. https://doi.org/10.1007/978-4-431-56056-2_3
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DOI: https://doi.org/10.1007/978-4-431-56056-2_3
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Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-56054-8
Online ISBN: 978-4-431-56056-2
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