Geodesic
Strong shape of the Stone-Čech compactification
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 3, pp. 533-539.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

J. Keesling has shown that for connected spaces $X$ the natural inclusion $e:X\rightarrow \beta X$ of $X$ in its Stone-Čech compactification is a shape equivalence if and only if $X$ is pseudocompact. This paper establishes the analogous result for strong shape. Moreover, pseudocompact spaces are characterized as spaces which admit compact resolutions, which improves a result of I. Lončar.
Classification : 54B35, 54C56, 54D30, 54D35, 55P55
Keywords: inverse system; resolution; Stone-Čech compactification; pseudocompact space; shape; strong shape 
@article{CMUC_1992__33_3_a14,
     author = {Marde\v{s}i\'c, Sibe},
     title = {Strong shape of the {Stone-\v{C}ech} compactification},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {533--539},
     publisher = {mathdoc},
     volume = {33},
     number = {3},
     year = {1992},
     mrnumber = {1209294},
     zbl = {0783.54017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1992__33_3_a14/}
}
TY  - JOUR
AU  - Mardešić, Sibe
TI  - Strong shape of the Stone-Čech compactification
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1992
SP  - 533
EP  - 539
VL  - 33
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_1992__33_3_a14/
LA  - en
ID  - CMUC_1992__33_3_a14
ER  - 
%0 Journal Article
%A Mardešić, Sibe
%T Strong shape of the Stone-Čech compactification
%J Commentationes Mathematicae Universitatis Carolinae
%D 1992
%P 533-539
%V 33
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_1992__33_3_a14/
%G en
%F CMUC_1992__33_3_a14
Mardešić, Sibe. Strong shape of the Stone-Čech compactification. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 3, pp. 533-539. http://geodesic.mathdoc.fr/item/CMUC_1992__33_3_a14/