Geodesic
Perfectness of the Higson and Smirnov compactifications
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
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

Voir la notice de l'article

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 
@article{10_4064_cm107_1_9,
     author = {Yuji Akaike and Naotsugu Chinen and Kazuo Tomoyasu},
     title = {Perfectness of the
 {Higson} and {Smirnov} compactifications},
     journal = {Colloquium Mathematicum},
     pages = {89--98},
     year = {2007},
     volume = {107},
     number = {1},
     doi = {10.4064/cm107-1-9},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm107-1-9/}
}
TY  - JOUR
AU  - Yuji Akaike
AU  - Naotsugu Chinen
AU  - Kazuo Tomoyasu
TI  - Perfectness of the
 Higson and Smirnov compactifications
JO  - Colloquium Mathematicum
PY  - 2007
SP  - 89
EP  - 98
VL  - 107
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm107-1-9/
DO  - 10.4064/cm107-1-9
LA  - en
ID  - 10_4064_cm107_1_9
ER  - 
%0 Journal Article
%A Yuji Akaike
%A Naotsugu Chinen
%A Kazuo Tomoyasu
%T Perfectness of the
 Higson and Smirnov compactifications
%J Colloquium Mathematicum
%D 2007
%P 89-98
%V 107
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/cm107-1-9/
%R 10.4064/cm107-1-9
%G en
%F 10_4064_cm107_1_9
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

Cité par Sources :