Countable s*-compactness in L-spaces

• Yang, Gui-Qin ^[1]
  1. [1] Mudanjiang Teachers College.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 24, Nº. 3, 2005, págs. 287-294
• Idioma: inglés
• DOI: 10.4067/S0716-09172005000300007
• Enlaces
  • Texto completo
• Resumen

  • In this paper, the notions of countable S∗-compactness is introduced in L-topological spaces based on the notion of S∗-compactness. An S∗-compact L-set is countably S∗-compact. If L = [0, 1], then countable strong compactness implies countable S∗-compactness and countable S∗-compactness implies countable F-compactness, but each inverse is not true. The intersection of a countably S∗-compact L-set and a closed L-set is countably S∗-compact. The continuous image of a countably S∗-compact L-set is countably S∗-compact. A weakly induced L-space (X, T ) is countably S∗-compact if and only if (X, [T ]) is countably compact.

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