Some remarks on generalizations of countably compact spaces and Lindelöf spaces. (English) Zbl 1194.54008

Matveev, M. V.; Bonanzinga, M.; Pareek, C. M.

Rend. Circ. Mat. Palermo (2) 51, No. 1, 163-174 (2002).

Summary: We prove some propositions and present some examples concerning the properties between countably compact and pseudocompact and the properties between Lindelöf and pseudo-Lindelöf.

MSC:

54A25	Cardinality properties (cardinal functions and inequalities, discrete subsets)
54D20	Noncompact covering properties (paracompact, Lindelöf, etc.)
54D30	Compactness
54D65	Separability of topological spaces

Keywords:

countably compact; Lindelöf; separable; starcompact; star–Lindelöf; \(n\)–star–Lindelöf; almost starcompact; almost star–Lindelöf; DFCC spaces; DCCC spaces

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