Affiliation:
1. University of Gour Banga
2. Gangarampur Govt. Polytechnic
Abstract
In this paper, convergences of a filter and a net have been characterized through ideal on topological spaces. Furthermore, we characterized the local function in an ideal topological space in terms of convergence of filter. Using Zorn's Lemma, we have found a maximal element in the collection of all proper ideals on a nonempty set which is called maximal ideal. We provide a convenient characterization of maximal ideals. We also consider simple properties of the image of an ideal, a net, and various local functions under a homeomorphism.
Publisher
Gazi University Journal of Science
Subject
Multidisciplinary,General Engineering
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