<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In the present article we introduce certain typical sets in an ideal topological space, some such corresponding versions in topological spaces being already there in the literature. We prove several properties of the introduced classes of sets, and finally as application, we initiate the study of a kind of separation axiom, termed 
<inline-formula><alternatives><inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/awutm-2015-0017_i1.jpg"></inline-graphic><math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mo>*</mo><mo>−</mo><msub><mi>T</mi><mrow><mfrac><mn>1</mn><mn>2</mn></mfrac></mrow></msub></mrow></math><tex-math>$* - T_{{1 \over 2}}$</tex-math></alternatives></inline-formula>
-property.</p></abstract>

In the present article we introduce certain typical sets in an ideal topological space, some such corresponding versions in topological spaces being already there in the literature. We prove several properties of the introduced classes of sets, and finally as application, we initiate the study of a kind of separation axiom, termed 
*−T12$* - T_{{1 \over 2}}$
-property.

On certain types of sets in ideal topological spaces

Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata–700019, INDIA

Annals of West University of Timisoara - Mathematics and Computer Science

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

{"article-title":"On certain types of sets in ideal topological spaces"}

In the present article we introduce certain typical sets in an ideal topological space, some such corresponding versions in topological spaces being already...

On certain types of sets in ideal topological spaces

Published Online: Apr 09, 2016

Page range: 99 - 108

Received: Mar 03, 2015

Accepted: Dec 08, 2015

DOI: https://doi.org/10.1515/awutm-2015-0017

Keywords
-closed, --closed, ∧-set, .∧-set, *--space

© 2015 Annals of West University of Timisoara - Mathematics

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

On certain types of sets in ideal topological spaces

Published Online: Apr 09, 2016

Page range: 99 - 108

Received: Mar 03, 2015

Accepted: Dec 08, 2015

DOI: https://doi.org/10.1515/awutm-2015-0017

Keywords-closed, --closed, ∧-set, .∧-set, *--space

© 2015 Annals of West University of Timisoara - Mathematics

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

Keywords
-closed, --closed, ∧-set, .∧-set, *--space