Sequential S?-compactness in L-topological spaces


  • Shu-Ping Li Mudanjiang Teachers College.



L-topology, Constant a-sequence, Weak O-cluster point, Weak O-limit point, Sequentially S∗-compactness.


In this paper, a new notion of sequential compactness is introduced in L-topological spaces, which is called sequentially S?-compactness. If L = [0, 1], sequential ultra-compactness, sequential N-compactness and sequential strong compactness imply sequential S?-compactness, and sequential S?-compactness implies sequential F-compactness. The intersection of a sequentially S?-compact L-set and a closed L-set is sequentially S?-compact. The continuous image of an sequentially S?- compact L-set is sequentially S?-compact. A weakly induced L-space (X, T ) is sequentially S?-compact if and only if (X, [T ]) is sequential compact. The countable product of sequential S?-compact L-sets is sequentially S?-compact.

Author Biography

Shu-Ping Li, Mudanjiang Teachers College.

Department of Computer.


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How to Cite

S.-P. Li, “Sequential S?-compactness in L-topological spaces”, Proyecciones (Antofagasta, On line), vol. 24, no. 1, pp. 1-11, Apr. 2017.