<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In the present article, a class of sets, called Ϟ-semiclosed sets, which is a subclass of the class of semi-closed sets of Levine [7], is introduced and studied in a grill topological space (X, τ, Ϟ), where Ϟ is a grill on X. Two types of functions are then introduced which ultimately lead us to achieve a new decomposition of a continuous function</p></abstract>

In the present article, a class of sets, called Ϟ-semiclosed sets, which is a subclass of the class of semi-closed sets of Levine [7], is introduced and studied in a grill topological space (X, τ, Ϟ), where Ϟ is a grill on X. Two types of functions are then introduced which ultimately lead us to achieve a new decomposition of a continuous function

On a Class of Sets Via Grill : A Decomposition of Continuity

Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata- 700 019, India

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

{"article-title":"On a Class of Sets Via Grill : A Decomposition of Continuity"}

In the present article, a class of sets, called Ϟ-semiclosed sets, which is a subclass of the class of semi-closed sets of Levine [7], is introduced and...

On a Class of Sets Via Grill : A Decomposition of Continuity

Publié en ligne: 17 mai 2013

Pages: 307 - 316

DOI: https://doi.org/10.2478/v10309-012-0020-9

Mots clés
Grill, semi-open set, Ϟ-semiopen set, Ϟ-semicontinuity, ϞS-set, ϞS-continuity

This content is open access.

On a Class of Sets Via Grill : A Decomposition of Continuity

Publié en ligne: 17 mai 2013

Pages: 307 - 316

DOI: https://doi.org/10.2478/v10309-012-0020-9

Mots clésGrill, semi-open set, Ϟ-semiopen set, Ϟ-semicontinuity, ϞS-set, ϞS-continuity

This content is open access.

Mots clés
Grill, semi-open set, Ϟ-semiopen set, Ϟ-semicontinuity, ϞS-set, ϞS-continuity