Universal topological representation of geometric patterns

Shousuke Ohmori; Yoshihiro Yamazaki; Tomoyuki Yamamoto; Akihiko Kitada

doi:10.1088/1402-4896/ab2946

Universal topological representation of geometric patterns

Shousuke Ohmori, Yoshihiro Yamazaki, Tomoyuki Yamamoto, Akihiko Kitada

Research output: Contribution to journal › Article › peer-review

Abstract

We discuss here the characteristic topology structures of 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 specific topological properties determines a character of each geometric structure.

Original language	English
Article number	105213
Journal	Physica Scripta
Volume	94
Issue number	10
DOIs	https://doi.org/10.1088/1402-4896/ab2946
Publication status	Published - 2019 Aug 7

Keywords

Cantor cube
Geometric pattern
clusterized structure
dendrite
graph

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Mathematical Physics
Condensed Matter Physics

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10.1088/1402-4896/ab2946

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title = "Universal topological representation of geometric patterns",

abstract = "We discuss here the characteristic topology structures of 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 specific topological properties determines a character of each geometric structure.",

keywords = "Cantor cube, Geometric pattern, clusterized structure, dendrite, graph",

author = "Shousuke Ohmori and Yoshihiro Yamazaki and Tomoyuki Yamamoto and Akihiko Kitada",

note = "Publisher Copyright: {\textcopyright} 2019 IOP Publishing Ltd.",

year = "2019",

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AU - Yamamoto, Tomoyuki

AU - Kitada, Akihiko

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KW - Geometric pattern

KW - clusterized structure

KW - dendrite

KW - graph

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Universal topological representation of geometric patterns

Abstract

Keywords

ASJC Scopus subject areas

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