Further aspects of I K-convergence in topological spaces
Keyword(s):
In this paper, we obtain some results on the relationships between different ideal convergence modes namely, I K, I K∗ , I, K, I ∪ K and (I ∪K) ∗ . We introduce a topological space namely I K-sequential space and show that the class of I K-sequential spaces contain the sequential spaces. Further I K-notions of cluster points and limit points of a function are also introduced here. For a given sequence in a topological space X, we characterize the set of I K-cluster points of the sequence as closed subsets of X.
1985 ◽
Vol 38
(1)
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pp. 118-129
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Keyword(s):
1951 ◽
Vol 3
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pp. 175-186
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Keyword(s):
2019 ◽
Vol 7
(1)
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pp. 250-252
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1970 ◽
Vol 67
(3)
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pp. 553-558
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2021 ◽
Vol ahead-of-print
(ahead-of-print)
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2001 ◽
Vol 27
(8)
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pp. 505-512
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Keyword(s):
2004 ◽
Vol 2004
(70)
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pp. 3829-3837