Some further results on ideal convergence in topological spaces

In this paper we make some further investigations on ideal convergence and in particular we concentrate on I-limit points and I-cluster points. We try to establish the characterization of the set of I-limit points (which has not been done in any structure so far) and show that this set can be charac...

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Vydáno v:Topology and its applications Ročník 159; číslo 10-11; s. 2621 - 2626
Hlavní autor: Das, Pratulananda
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier B.V 15.06.2012
Témata:
[formula omitted]-cluster points
[formula omitted]-limit points
[formula omitted]-set
Filter
Ideal
Ideal convergence
secondary
Ideal convergence
I-limit points
Filter
Ideal
Fσ-set
I-cluster points
primary
ISSN:0166-8641, 1879-3207
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Popis
Shrnutí:In this paper we make some further investigations on ideal convergence and in particular we concentrate on I-limit points and I-cluster points. We try to establish the characterization of the set of I-limit points (which has not been done in any structure so far) and show that this set can be characterized as an Fσ-set for a large class of ideals, namely analytic P-ideals and then make certain interesting observations on I-cluster points.
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2012.04.007