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

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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.
Classification : 54B35, 54C56, 54D30, 54D35, 55P55
Keywords: inverse system; resolution; Stone-Čech compactification; pseudocompact space; shape; strong shape 
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     title = {Strong shape of the {Stone-\v{C}ech} compactification},
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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/