Further aspects of I K-convergence in topological spaces

In this paper, we obtain some results on the relationships between different ideal convergence modes namely, I K, I K∗ , I, K, I ∪ K and (I ∪K) ∗ . We introduce a topological space namely I K-sequential space and show that the class of I K-sequential spaces contain the sequential spaces. Further I K...

Celý popis

Uloženo v:

Podrobná bibliografie
Vydáno v:	Applied general topology Ročník 22; číslo 2; s. 355 - 366
Hlavní autoři:	Sharmah, Ankur, Hazarika, Debajit
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Universitat Politècnica de València 01.10.2021
Témata:	i k-cluster point i k-convergence i k-sequential space i k∗ -convergence i-convergence
ISSN:	1576-9402, 1989-4147
On-line přístup:	Získat plný text
Tagy:	Přidat tag Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!

Popis
Shrnutí:	In this paper, we obtain some results on the relationships between different ideal convergence modes namely, I K, I K∗ , I, K, I ∪ K and (I ∪K) ∗ . We introduce a topological space namely I K-sequential space and show that the class of I K-sequential spaces contain the sequential spaces. Further I K-notions of cluster points and limit points of a function are also introduced here. For a given sequence in a topological space X, we characterize the set of I K-cluster points of the sequence as closed subsets of X.
ISSN:	1576-9402 1989-4147
DOI:	10.4995/agt.2021.14868