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Topology may described a pattern of existence of elements of a given set X. The family ${\tau}(X)$ of all topologies given on a set X form a complete lattice. We will give some topologies on this lattice ${\tau}(X)$ using a fixed topology on X and we will regard ${\tau}(X)$ a topological space. Our purpose of this study is to comparison new topologies on the family ${\tau}(X)$ of all topologies induced old one.
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참고문헌 (5)
참고문헌 신청
Halgwrd Mohammed Darwesh / 2012 / A NEW TOPOLOGY FROM AN OLD ONE / 충청수학회지 25(3):401~413
김재룡 / 2013 / TOPOLOGY FIELDS, TOPOLOGICAL FLOWS AND TOPOLOGICAL ORGANISMS / 충청수학회지 26(1):53~69
Jae-Ryong Kim / 2015 / THETA TOPOLOGY AND ITS APPLICATION TO THE FAMILY OF ALL TOPOLOGIES ON X / 충청수학회지 28(3):431~441
P. E. Long / 1982 / The Tθ-topology and fanitly continous functions / Kyungpook Math. J 22(1):7~14
N. V. Velicko / 1969 / H-closed topological spaces / Amer. Math. Soc. Trans 2(78):103~118
김재룡 / 2013 / TOPOLOGY FIELDS, TOPOLOGICAL FLOWS AND TOPOLOGICAL ORGANISMS / 충청수학회지 26(1):53~69
Jae-Ryong Kim / 2015 / THETA TOPOLOGY AND ITS APPLICATION TO THE FAMILY OF ALL TOPOLOGIES ON X / 충청수학회지 28(3):431~441
P. E. Long / 1982 / The Tθ-topology and fanitly continous functions / Kyungpook Math. J 22(1):7~14
N. V. Velicko / 1969 / H-closed topological spaces / Amer. Math. Soc. Trans 2(78):103~118
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