Title of article
Lk-Cauchy functions
Author/Authors
Das، نويسنده , , Pratulananda and Sleziak، نويسنده , , Martin and Toma، نويسنده , , Vladimيr، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2014
Pages
19
From page
9
To page
27
Abstract
In this paper we introduce the notion of I K -Cauchy function, where I and K are ideals on the same set. The I K -Cauchy functions are a generalization of I ⁎ -Cauchy sequences and I ⁎ -Cauchy nets. We show how this notion can be used to characterize complete uniform spaces and we study how I K -Cauchy functions and I -Cauchy functions are related. We also define and study I K -divergence of functions.
Keywords
Ideal convergence , Filter , Cauchy net , I -Cauchy condition
Journal title
Topology its Applications
Serial Year
2014
Journal title
Topology its Applications
Record number
1584279
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