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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.

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