Perfectness of the
 Higson and Smirnov compactifications

Yuji Akaike; Naotsugu Chinen; Kazuo Tomoyasu

doi:10.4064/cm107-1-9

Wydawnictwa / Czasopisma IMPAN / Colloquium Mathematicum / Wszystkie zeszyty

Perfectness of the Higson and Smirnov compactifications

Tom 107 / 2007

Yuji Akaike, Naotsugu Chinen, Kazuo Tomoyasu Colloquium Mathematicum 107 (2007), 89-98 MSC: Primary 54D05, 54D35; Secondary 54D40, 54D45. DOI: 10.4064/cm107-1-9

Streszczenie

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.

Autorzy

Yuji AkaikeKure National College of Technology
2-2-11 Aga-Minami Kure-shi
Hiroshima 737-8506, Japan
e-mail
Naotsugu ChinenOkinawa National College of Technology
905 Henoko Nago-shi
Okinawa 905-2192, Japan
e-mail
Kazuo TomoyasuMiyakonojo National College of Technology
473-1 Yoshio-cho Miyakonojo-shi
Miyazaki 885-8567, Japan
e-mail

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