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M. Cristina Vipera

Some results on sequentially compact extensions

Comment.Math.Univ.Carolinae 39,4 (1998) 819-831.

Abstract: 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.

Keywords: sequentially compact extension, locally sequentially compact space, extension of functions

AMS Subject Classification: 54D35, 54C20, 54D80

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