Journals / Hacettepe Journal of Mathematics and Statistics / 2010 / Cilt: 39 - Sayı: 3

A study on rare $m _x$ sets and rarely $m _x$ continuous functions

Pages
295–303
Publication Date
2022-10-18
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Some properties of these sets are studied and it is shown that only the null set is both a rare$m _x$ set and an open $m _x$ set.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The aim of this paper is to introduce the concept of rare $m _x$ sets, dense$m _x$ sets and rarely $m _x$ continuous functions.
📊
Key Findings & Data:The aim of this paper is to introduce the concept of rare $m _x$ sets, dense$m _x$ sets and rarely $m _x$ continuous functions.
💡
Conclusion & Impact:Some properties of these sets are studied and it is shown that only the null set is both a rare$m _x$ set and an open $m _x$ set.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The aim of this paper is to introduce the concept of rare $m _x$ sets, dense$m _x$ sets and rarely $m _x$ continuous functions. Some properties of these sets are studied and it is shown that only the null set is both a rare$m _x$ set and an open $m _x$ set.

🔖

Cite This Article

HALDER, S. B. (2022). A study on rare $m _x$ sets and rarely $m _x$ continuous functions. Hacettepe Journal of Mathematics and Statistics, Cilt: 39 - Sayı: 3, 295–303. https://ajindex.com/articles/530856

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (10)

  1. Abdel Monsef, M.E and Ramadan, A.E. On fuzzy supra topological spaces, Indian J. Pure and Appl. Math. 18, 322–329, 1987
  2. Bhattacharya (Halder), S. and Chanda, S. Some properties of mX–$Lambda$ (resp. mX-V) sets and its applications, Acta Ciencia Indica, XXXIV(2), 513–??, 2008 [3] Bourbaki, N. General Topology, Part I (Addison Wesley, Reading, Mass., 1996)
  3. Caldas, M. and Jafari, S. A strong form of rare continuity, Soochow Journal of Mathematics 32 (1), 161–169, 2006
  4. Jafari, S. On some properties of rarely continuous functions, Univ. Bacau. Stud. Cerc. St. Ser. Mat. 7, 65–73, 1997
  5. Long, P. E. and Herrington, L. L. Properties of rarely continuous functions, Glasnik Mat. 17 (37), 229–236, 1982
  6. Maki, H. On generalizing semi open and preopen sets (Report for Meeting on Topological Spaces, Theory and its Applications, Yatsushiro College of Technology, 13 - 18, August 1996)
  7. Mocano, M. Generalization of open functions, Univ Bacau. Stud. Cerc. Sl. Ser. Mat 13, 67–78, 2003
  8. Popa, V. Sur certain decomposition de la continuite dans les espaces topologiques, Glasnik Mat. Setr III, 14 (34), 359–362, 1979
  9. Popa, V. and Noiri, T. On M - continuous functions, Anal. Univ. ”Dunarea de Jos” Galati Ser. Mat. Fiz. Mec. Teor. Fasc. II 18 (23), 31–41, 2000
  10. Popa, V. and Noiri, T. Slightly m - continuous functions, Radovi Matematicki 10, 219–232, 2001.