Perfectness of the Higson and Smirnov compactifications
Yuji Akaike; Naotsugu Chinen; Kazuo Tomoyasu
Colloquium Mathematicae (2007)
- Volume: 107, Issue: 1, page 89-98
- ISSN: 0010-1354
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topYuji Akaike, Naotsugu Chinen, and Kazuo Tomoyasu. "Perfectness of the Higson and Smirnov compactifications." Colloquium Mathematicae 107.1 (2007): 89-98. <http://eudml.org/doc/283721>.
@article{YujiAkaike2007,
abstract = {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.},
author = {Yuji Akaike, Naotsugu Chinen, Kazuo Tomoyasu},
journal = {Colloquium Mathematicae},
keywords = {product; Higson compactification; Smirnov compactification; perfect compactification; metric space; uniformly locally connected; coarsely uniformly connected},
language = {eng},
number = {1},
pages = {89-98},
title = {Perfectness of the Higson and Smirnov compactifications},
url = {http://eudml.org/doc/283721},
volume = {107},
year = {2007},
}
TY - JOUR
AU - Yuji Akaike
AU - Naotsugu Chinen
AU - Kazuo Tomoyasu
TI - Perfectness of the Higson and Smirnov compactifications
JO - Colloquium Mathematicae
PY - 2007
VL - 107
IS - 1
SP - 89
EP - 98
AB - 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.
LA - eng
KW - product; Higson compactification; Smirnov compactification; perfect compactification; metric space; uniformly locally connected; coarsely uniformly connected
UR - http://eudml.org/doc/283721
ER -
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