δ(δg)* - Sets and Functions in Topological Spaces

Authors

  • Meriam Niepes Bitasolo College of Teacher Education, Bohol Island State University-Calape Campus, 6323 San Isidro, Calape, Bohol Philippines

DOI:

https://doi.org/10.53555/ms.v5i4.833

Keywords:

Keywords: δ(δg)* - set, δ(δg)* - closure, δ(δg)*-continuous functions, absolute-δ(δg)* - continuous functions, rs - δ(δg)* - continuous functions

Abstract

This study introduced the notion of delta(delta g)star set and functions in topological spaces (briefly TS). This proves that in TS, the delta-closure of a set is smaller than its delta(delta g)star- closure while the delta-interior is generally larger than its delta(delta g)star- interior. In addition, in the same space the delta(delta g)star-continuous functions, absolute-delta(delta g)star- continuous functions and rs -delta(delta g)star - continuous functions are introduced and investigated. Characterization and properties of these functions are also determined.

 

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Published

2019-04-30

How to Cite

Bitasolo, M. N. (2019). δ(δg)* - Sets and Functions in Topological Spaces. International Journal For Research In Mathematics And Statistics, 5(4), 01–08. https://doi.org/10.53555/ms.v5i4.833