Perfectness of the Higson and Smirnov compactifications

• Autorzy: Yuji Akaike , Naotsugu Chinen , Kazuo Tomoyasu
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 54D40: Remainders
• 54D05: Connected and locally connected spaces (general aspects)
• 54D35: Extensions of spaces (compactifications, supercompactifications, completions, etc.)
• 54D45: Local compactness, σ -compactness

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2007
• Tom: 107
• Numer: 1
• Strony: 89-98

Daty

wydano

2007

Twórcy

autor

Yuji Akaike

• Kure National College of Technology, 2-2-11 Aga-Minami Kure-shi, Hiroshima 737-8506, Japan

autor

Naotsugu Chinen

• Okinawa National College of Technology, 905 Henoko Nago-shi, Okinawa 905-2192, Japan

autor

Kazuo Tomoyasu

• Miyakonojo National College of Technology, 473-1 Yoshio-cho Miyakonojo-shi, Miyazaki 885-8567, Japan

Identyfikatory

DOI

10.4064/cm107-1-9