<abstract xmlns="http://www.w3.org/1999/xhtml"><p>This paper mainly dedicated on overview of zero sets in Ideal topological spaces. We also introduce a new class of functions which generalizes the class of continuous functions and investigate its position in the hierarchy of continuous functions on Ideal topological spaces. Moreover, these new sets (zero*-ℐ-set) which is a pragmatic approach to characterize completely <italic>Hausdorff</italic> spaces.</p></abstract>

This paper mainly dedicated on overview of zero sets in Ideal topological spaces. We also introduce a new class of functions which generalizes the class of continuous functions and investigate its position in the hierarchy of continuous functions on Ideal topological spaces. Moreover, these new sets (zero*-ℐ-set) which is a pragmatic approach to characterize completely Hausdorff spaces.

Some strong and weak form of z-continuity via <italic>Cl</italic><sup>*</sup>

General Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Some strong and weak form of z-continuity via 

This paper mainly dedicated on overview of zero sets in Ideal topological spaces. We also introduce a new class of functions which generalizes the class of...

Some strong and weak form of z-continuity via Cl^*

Data publikacji: 21 gru 2019

Zakres stron: 85 - 101

Otrzymano: 09 kwi 2019

Przyjęty: 14 maj 2019

DOI: https://doi.org/10.2478/gm-2019-0008

Słowa kluczowe
Ideal, zero sets, z-open, z-continuous, Completely Hausdor

© 2019 A. R. Prasannan et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Some strong and weak form of z-continuity via Cl*

Data publikacji: 21 gru 2019

Zakres stron: 85 - 101

Otrzymano: 09 kwi 2019

Przyjęty: 14 maj 2019

DOI: https://doi.org/10.2478/gm-2019-0008

Słowa kluczoweIdeal, zero sets, z-open, z-continuous, Completely Hausdor

© 2019 A. R. Prasannan et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Some strong and weak form of z-continuity via Cl^*

Słowa kluczowe
Ideal, zero sets, z-open, z-continuous, Completely Hausdor