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.
- Publication:
-
Physica Scripta
- Pub Date:
- October 2019
- DOI:
- 10.1088/1402-4896/ab2946
- arXiv:
- arXiv:1810.02164
- Bibcode:
- 2019PhyS...94j5213O
- Keywords:
-
- geometric pattern;
- dendrite;
- Cantor cube;
- graph;
- clusterized structure;
- Mathematical Physics;
- Mathematics - General Topology
- E-Print:
- doi:10.1088/1402-4896/ab2946