Geodesic
Some results on sequentially compact extensions
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 4, pp. 819-831.

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The class of Hausdorff spaces (or of Tychonoff spaces) which admit a Hausdorff (respectively Tychonoff) sequentially compact extension has not been characterized. We give some new conditions, in particular, we prove that every Tychonoff locally sequentially compact space has a Tychonoff one-point sequentially compact extension. We also give some results about extension of functions and about lattice properties of the family of all minimal sequentially compact extensions of a given space.
Classification : 54C20, 54D35, 54D80
Keywords: sequentially compact extension; locally sequentially compact space; extension of functions 
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     title = {Some results on sequentially compact extensions},
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Vipera, M. Cristina. Some results on sequentially compact extensions. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 4, pp. 819-831. http://geodesic.mathdoc.fr/item/CMUC_1998__39_4_a16/