Universal topological representation of geometric patterns
Mathematical Physics
2019-09-04 v1 General Topology
math.MP
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.
Keywords
Cite
@article{arxiv.1810.02164,
title = {Universal topological representation of geometric patterns},
author = {Shousuke Ohmori and Yoshihiro Yamazaki and Tomoyuki Yamamoto and Akihiko Kitada},
journal= {arXiv preprint arXiv:1810.02164},
year = {2019}
}