2 citations · 3 across the 3 of their papers we have counts for
4 papers
Universal topological representation of geometric patterns
Shousuke Ohmori, Yoshihiro Yamazaki, Tomoyuki Yamamoto +1
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 spac…
Topological characterization of network structures of aggregates of atoms
Shousuke Ohmori, Tomoyuki Yamamoto, Akihiko Kitada
Two distinct structures of aggregates of atoms connected by anisotropic bonds with a network configuration are discussed from the viewpoint of a point set topology. A specific topo…
A not metrizable space filled with any n mutually disjoint self-similar spaces
Akihiko Kitada, Shousuke Ohmori, Tomoyuki Yamamoto
A Lambda (Card Lambda > aleph)-product space of {0,1} has a partition {X1,...,Xn} for any n a decomposition space of each Xi of which is self-similar.(February 16, 2015)
On the Existence of a Self-Similar Coarse Graining of a Self-Similar Space
Akihiko Kitada, Tomoyuki Yamamoto, Tsuyoshi Yoshioka +1
A topological space homeomorphic to a self-similar space is demonstrated to be self-similar. There exists a self-similar space whose coarse graining is homeomorphic to . The…