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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Bibliographic Details
Published in:Topology and its applications Vol. 159; no. 10-11; pp. 2621 - 2626
Main Author: Das, Pratulananda
Format: Journal Article
Language:English
Published: Elsevier B.V 15.06.2012
Subjects:
[formula omitted]-cluster points
[formula omitted]-limit points
[formula omitted]-set
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Ideal
Ideal convergence
secondary
Ideal convergence
I-limit points
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Ideal
Fσ-set
I-cluster points
primary
ISSN:0166-8641, 1879-3207
Online Access:Get full text
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Summary: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