Universal topological representation of geometric patterns

Ohmori Shousuke; Yamazaki Yoshihiro; Yamamoto Tomoyuki; Kitada Akihiko

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Universal topological representation of geometric patterns

机译：几何图案的通用拓扑表示

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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.

机译：我们通过基本拓扑方法讨论了事项的特征拓扑结构。任何几何图案都可以通过由0和1的无限产品空间组成的拓扑空间的分解空间普遍表示，其中具有特定拓扑特性的分区确定每个几何结构的特征。

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来源
《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2019年第10期|共7页
作者
Ohmori Shousuke; Yamazaki Yoshihiro; Yamamoto Tomoyuki; Kitada Akihiko;
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作者单位

Waseda Univ Fac Sci &

Engn Shinjuku Ku 3-4-1 Okubo Tokyo 1698555 Japan;

Waseda Univ Fac Sci &

Engn Shinjuku Ku 3-4-1 Okubo Tokyo 1698555 Japan;

Waseda Univ Fac Sci &

Engn Shinjuku Ku 3-4-1 Okubo Tokyo 1698555 Japan;

Waseda Univ Inst Condensed Matter Sci Comprehens Resaerch Org Shinjuku Ku 3-4-1 Okubo Tokyo 1698555 Japan;

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原文格式 PDF
正文语种 eng
中图分类物理学;
关键词
geometric pattern; dendrite; Cantor cube; graph; clusterized structure;

机译：几何图案;树突;唱名立方体;图;集群化结构;

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1. Universal topological representation of geometric patterns [J] . Ohmori Shousuke, Yamazaki Yoshihiro, Yamamoto Tomoyuki, Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2019,第10期

机译：几何图案的通用拓扑表示
2. Magnetic degeneracy points in interacting two-spin systems: Geometrical patterns, topological charge distributions, and their stability [J] . Gyoergy Frank, Zoltan Scheruebl, Szabolcs Csonka, Physical review . 2020,第24期

机译：磁性退化点相互作用两种自旋系统：几何图案，拓扑电荷分布及其稳定性
3. Magnetic degeneracy points in interacting two-spin systems: Geometrical patterns, topological charge distributions, and their stability [J] . Frank Gyorgy, Scherubl Zoltan, Csonka Szabolcs, Physical review, B . 2020,第24期

机译：磁性退化点相互作用两种自旋系统：几何图案，拓扑电荷分布及其稳定性
4. Detection of deleted patterns in handwritten digits using topological and geometrical image features [C] . Misako Suwa, Fujitsu Labs. Ltd., Kawasaki-shi, Conference on document recognition . 1998

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5. Patterns of Representation: Women's Political Representation in the U.S. and the Conceptualization of Women's Interests [D] . Wagner, Regina Lea 2018

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6. Symmetry and Correspondence of Algorithmic Complexity over Geometric Spatial and Topological Representations [O] . Hector Zenil, Narsis A. Kiani, Jesper Tegnér 2018

机译：几何空间和拓扑表示算法复杂性的对称性和对应关系
7. GEOMETRIC IDENTITIES (Representation spaces, twisted topological invariants and geometric structures of 3-manifolds) [O] . MCSHANE GREG 2013

机译：几何身份（表示空间，扭曲的拓扑不变量和3流形的几何结构）

Universal topological representation of geometric patterns

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