Geodesic
Perfectness of the Higson and Smirnov compactifications
Yuji Akaike1 ; Naotsugu Chinen2 ; Kazuo Tomoyasu3
1Kure National College of Technology 2-2-11 Aga-Minami Kure-shi Hiroshima 737-8506, Japan
2Okinawa National College of Technology 905 Henoko Nago-shi Okinawa 905-2192, Japan
3Miyakonojo National College of Technology 473-1 Yoshio-cho Miyakonojo-shi Miyazaki 885-8567, Japan
Colloquium Mathematicum, Tome 107 (2007) no. 1, pp. 89-98
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm107-1-9
Keywords: provide necessary sufficient condition higson compactification perfect noncompact locally connected proper metric spaces discuss perfectness smirnov compactification

Yuji Akaike  1   ; Naotsugu Chinen  2   ; Kazuo Tomoyasu  3

1 Kure National College of Technology 2-2-11 Aga-Minami Kure-shi Hiroshima 737-8506, Japan
2 Okinawa National College of Technology 905 Henoko Nago-shi Okinawa 905-2192, Japan
3 Miyakonojo National College of Technology 473-1 Yoshio-cho Miyakonojo-shi Miyazaki 885-8567, Japan 
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     title = {Perfectness of the
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Yuji Akaike; Naotsugu Chinen; Kazuo Tomoyasu. Perfectness of the
 Higson and Smirnov compactifications. Colloquium Mathematicum, Tome 107 (2007) no. 1, pp. 89-98. doi: 10.4064/cm107-1-9

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