RE-VISIT I*-SEQUENTIAL TOPOLOGY

Yıl 2025, Cilt: 8 Sayı: 1, 20 - 32, 31.01.2025

Hassina Sabor Behmanush , Mehmet Küçükaslan

https://doi.org/10.33773/jum.1555200

Öz

In this paper, I*-sequential topology is defined on a topological
space (X, τ) by considering any ideal I which is a family of subset of natural
numbers N. It has been proven that I∗-sequential topology is finer than
I-sequential topology. In connection with this fact, the notions I*-continuity
and I∗-sequential continuity are shown to be coincided in this topology. Additionally,
I*-sequential compactness and related notions are defined and investigated.

Anahtar Kelimeler

I- convergence, I∗-convergence, Sequentially I-topology, Sequentially I∗-topology

Kaynakça

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