Strong shape of the Stone-Čech compactification
Mardešić, Sibe
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992), p. 533-539 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 1992-01-01
Classification:  54B35,  54C56,  54D30,  54D35,  55P55 
@article{118520,
     author = {Sibe Marde\v si\'c},
     title = {Strong shape of the Stone-\v Cech compactification},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {33},
     year = {1992},
     pages = {533-539},
     zbl = {0783.54017},
     mrnumber = {1209294},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118520}
}

Mardešić, Sibe. Strong shape of the Stone-Čech compactification. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) pp. 533-539. http://gdmltest.u-ga.fr/item/118520/

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