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
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.