Glasnik matematički, Vol. 34 No. 1, 1999.
Original scientific paper
Proper metric spaces and Higson compactifications of product spaces
Kazuo Tomoyasu
Abstract
Let (X, d) be a non-compact metric space. We provide an equivalent condition that the metric d is proper on X. Xd denotes the Higson compastification of a non-compact proper metric space (X, d). In this paper we show that if (X, dX) is a non-compact proper metric space and (Y, dY) is a non-compact metric space, then X × Y max{dX, dY} is not equivalent to X dX × Y dY.
Keywords
Higson compactification; Higson corona; proper metric spaces
Hrčak ID:
6403
URI
Publication date:
1.6.1999.
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