SEQUENTIAL S*-COMPACTNESS IN L-TOPOLOGICAL SPACES*
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*-compact...
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| Autor principal: | |
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| Lenguaje: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2005
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| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172005000100001 |
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| Sumario: | 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 |
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