Sequential S?compactness in Ltopological spaces
DOI:
https://doi.org/10.4067/S071609172005000100001Keywords:
Ltopology, Constant asequence, Weak Ocluster point, Weak Olimit point, Sequentially S∗compactness.Abstract
In this paper, a new notion of sequential compactness is introduced in Ltopological spaces, which is called sequentially S?compactness. If L = [0, 1], sequential ultracompactness, sequential Ncompactness and sequential strong compactness imply sequential S?compactness, and sequential S?compactness implies sequential Fcompactness. The intersection of a sequentially S?compact Lset and a closed Lset is sequentially S?compact. The continuous image of an sequentially S? compact Lset is sequentially S?compact. A weakly induced Lspace (X, T ) is sequentially S?compact if and only if (X, [T ]) is sequential compact. The countable product of sequential S?compact Lsets is sequentially S?compact.
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