On weaker forms of compactness Lindelöfness and countable compactness

D. Baboolal, J. Backhouse and R. G. Ori

International Journal of Mathematics and Mathematical Sciences, 1990, vol. 13, 1-5

Abstract:

A theory of e-countable compactness and e-Lindelöfness which are weaker than the concepts of countable compactness and Lindelöfness respectively is developed. Amongst other results we show that an e-countably compact space is pseudocompact, and an example of a space which is pseudocompact but not e-countably compact with respect to any dense set is presented. We also show that every e-Lindelöf metric space is separable.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:743015

DOI: 10.1155/S0161171290000084

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