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Currently displaying 1 – 3 of 3

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Homeomorphic neighborhoods in $μ^{n + 1}$ -manifolds

Yūji Akaike — 1998

Colloquium Mathematicae

Perfectness of the Higson and Smirnov compactifications

Yuji Akaike; Naotsugu Chinen; Kazuo Tomoyasu — 2007

Colloquium Mathematicae

We provide a necessary and sufficient condition for the Higson compactification to be perfect for the noncompact, locally connected, proper metric spaces. We also discuss perfectness of the Smirnov compactification.

Colorings of Periodic Homeomorphisms

Yuji Akaike; Naotsugu Chinen; Kazuo Tomoyasu — 2009

Bulletin of the Polish Academy of Sciences. Mathematics

We calculate the exact value of the color number of a periodic homeomorphism without fixed points on a finite connected graph.

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