Decompositions of Continuity Via Grills

Authors

  • Ahmad Al-Omari
  • Takashi Noiri

Keywords:

grill, decomposition of continuity, G-α-open, G-semi-open, G-preopen, G-β-open.

Abstract

In this paper, we introduce the notions of G-α-open sets, G-semi-open sets and G-β-open sets in grill topological spaces and investigate their properties. Furthermore, by using these sets we obtain new decompositions of continuity.

Key words and phrases. grill, decomposition of continuity, G-α-open, G-semi-open, G-preopen, G-β-open.

2000 Mathematics Subject Classification. 54A05, 54C10

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Published

2025-05-18

How to Cite

Ahmad Al-Omari, & Takashi Noiri. (2025). Decompositions of Continuity Via Grills. Jordan Journal of Mathematics and Statistics, 4(1), 33–46. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/1170

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