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Universal topological representation of geometric patterns

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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… Click to show full 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: space; representation geometric; topological representation; universal topological; geometric patterns

Journal Title: Physica Scripta
Year Published: 2019

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