RE-VISIT I*-SEQUENTIAL TOPOLOGY

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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