2 citations · 5 across the 9 of their papers we have counts for
9 papers
Construction of topological representation of geometric patterns using Cantor self-similar set
Shousuke Ohmori, Yoshihiro Yamazaki, Tomoyuki Yamamoto +1
Universal representation of geometric patterns of disordered matters is investigated with the aid of general topology. By utilizing the result obtained in the previous study (S. Oh…
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…
Existence of a space filled with an arbitrary finite number of mutually disjoint self-similar spaces
Akihiko Kitada, Shousuke Ohmori, Tomoyuki Yamamoto
We discuss a sufficient condition for a space to be filled with an arbitrary finite number of self-similar spaces using a topological concept.
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)
A product space of {0, 1} and an abstract polycrystal
Akihiko Kitada, Shousuke Ohmori, Tomoyuki Yamamoto
A partition of a -product space of defines an abstract polycrystal composed of abstract singlecrystals a decomposition space (space of equivalence…
On a difference in topological nature between Cantor middle-third set and Sierpiński carpet
Akihiko Kitada, Tomoyuki Yamamoto, Shousuke Ohmori +1
Both Cantor middle-third set and Sierpiński carpet are self-similar, perfect, compact metric spaces. In spite of the similarity of the mathematical procedure of construction, there…
A dendrite generated from {0,1}^Λ, CardΛ\succ \aleph
Akihiko Kitada, Tomoyuki Yamamoto, Shousuke Ohmori
The existence of a decomposition space with a dendritic structure of a topological space is discussed. Here, is any set with the cardinal number $\succ \a…
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…