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math.GN2014
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…
math.GN2014
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…