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arXiv · 1810.02164

Universal topological representation of geometric patterns

Shousuke Ohmori·Yoshihiro Yamazaki·Tomoyuki Yamamoto·Akihiko Kitada
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Abstract

We discuss here geometric structures of condensed matters by means of a fundamental topological method. Any geometric pattern can be universally represented by a decomposition space of a topological space consisting of the infinite product space of 0 and 1, in which a partition with a specific topological structure determines a character of each geometric structure.

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Shousuke Ohmori, Yoshihiro Yamazaki, Tomoyuki Yamamoto, Akihiko Kitada. 2018-10-04. Universal topological representation of geometric patterns. https://doi.org/10.1088/1402-4896%2Fab2946

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