Approximations of Stone-Cech compactifications by Higson compactifications

• Autorzy: Kazuhiro Kawamura , Kazuo Tomoyasu
• Języki publikacji: EN

Abstrakty

EN

The Higson compactification $X̅^{d}$ of a non-compact proper metric space (X,d) is rarely equivalent to the Stone-Čech compactification βX. We give a characterization of such spaces. Also, we show that for each non-compact locally compact separable metric space, βX is equivalent to $lim\limits_{⟵ }{X̅^{d}: d$ is a proper metric on X which is compatible with the topology of X}. The approximation method of the above type is illustrated by some examples and applications.

Kategorie tematyczne

• 54D40: Remainders
• 54D35: Extensions of spaces (compactifications, supercompactifications, completions, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2001
• Tom: 88
• Numer: 1
• Strony: 75-92

Daty

wydano

2001

Twórcy

autor

Kazuhiro Kawamura

• Institute of Mathematics, University of Tsukuba, Tsukuba-shi Ibaraki, 305-8571, Japan

autor

Kazuo Tomoyasu

• Miyakonojo National College of Technology, Miyakonojo-shi Miyazaki, 885-8567, Japan

Identyfikatory

DOI

10.4064/cm88-1-7