TOPOLOGIZATION OF POLYCRYSTAL - EXISTENCE OF A COMPACT DOMAIN WITH A SELF-SIMILARITY

Citation
S. Nakamura et al., TOPOLOGIZATION OF POLYCRYSTAL - EXISTENCE OF A COMPACT DOMAIN WITH A SELF-SIMILARITY, Journal of the Physical Society of Japan, 64(3), 1995, pp. 731-735
Citations number
3
Categorie Soggetti
Physics
ISSN journal
00319015
Volume
64
Issue
3
Year of publication
1995
Pages
731 - 735
Database
ISI
SICI code
0031-9015(1995)64:3<731:TOP-EO>2.0.ZU;2-H
Abstract
We topologize a polycrystal composed of single crystals defined in a f inite-dimensional affine space, to be a complete metric space. In the topological space ''polycrystal'', we can find a compact domain with a self-similarity which is one of the geometrical properties characteri stic of the complete metric space.