Mathematical Physics
[Submitted on 4 Oct 2018]
Title:Universal topological representation of geometric patterns
View PDFAbstract: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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