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.
Birincil Dil | İngilizce |
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Konular | Mühendislik |
Bölüm | Mathematics |
Yazarlar | |
Erken Görünüm Tarihi | 10 Kasım 2023 |
Yayımlanma Tarihi | 1 Haziran 2024 |
Yayımlandığı Sayı | Yıl 2024 Cilt: 37 Sayı: 2 |