A generalization of the Vitali covering theorem

D. Sarkhel

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V. Laguna, J. Sanjurjo (1989)

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On spaces which have the shape of compact metric spaces

Tadashi Watanabe (1979)

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Shape domination and embedding up to shape

L. S. Husch, I. Ivanšić (1980)

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Generalized shape theory

Deleanu, Aristide, Hilton, Peter

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Strong shape of the Stone-Čech compactification

Sibe Mardešić (1992)

Commentationes Mathematicae Universitatis Carolinae

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J. Keesling has shown that for connected spaces $X$ the natural inclusion $e : X \to β X$ 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.

On approximate n-connectedness

Thomas Sanders (1983)

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