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In this paper, we introduce a notion of cleanly covered topological spaces along with two strong separation axioms. Some properties of cleanly covered topological spaces are obtained in term of maximal open sets including some similar properties of a topological space in term of maximal closed sets. Two strong separation axioms are also investigated in terms of minimal open and maximal closed sets.
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참고문헌 (6)
참고문헌 신청
Ajoy Mukharjee / 2015 / On maximal, minimal open and closed sets / 대한수학회논문집 30 (3) : 277 ~ 282
F. Nakaoka / 2001 / Some applications of minimal open sets / Int. J. Math. Math. Sci 27 (8) : 471 ~ 476
F. Nakaoka / 2003 / Some properties of maximal open sets / Int. J. Math. Math. Sci 21 (21) : 1331 ~ 1340
F. Nakaoka / 2006 / Minimal closed sets and maximal closed sets / Int. J. Math. Math. Sci 2006 : 8 ~
L. A. Steen / 1970 / Counterexamples in topology / Holt, Rinehart and Winston Inc.
F. Nakaoka / 2001 / Some applications of minimal open sets / Int. J. Math. Math. Sci 27 (8) : 471 ~ 476
F. Nakaoka / 2003 / Some properties of maximal open sets / Int. J. Math. Math. Sci 21 (21) : 1331 ~ 1340
F. Nakaoka / 2006 / Minimal closed sets and maximal closed sets / Int. J. Math. Math. Sci 2006 : 8 ~
L. A. Steen / 1970 / Counterexamples in topology / Holt, Rinehart and Winston Inc.
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