Research Article

WEAKLY Φ-CONTINUOUS FUNCTIONS IN GRILL TOPOLOGICAL SPACES

Volume: 41 Number: 6 June 1, 2012
  • Ahmad Al-omari
  • Takashi Noiri
TR EN

WEAKLY Φ-CONTINUOUS FUNCTIONS IN GRILL TOPOLOGICAL SPACES

Abstract

In this paper, we introduce and investigate the notion of a weakly Φcontinuous function in grill topological spaces and using this function we obtain a decomposition of continuity. Also, we investigate its relationship with other related functions.

Keywords

References

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  2. Chattopadhyay, K. C., Nj˚astad, K. C. and Thron W. J. Merotopic spaces and extensions of closure spaces, Can. J. Math. 35 (4), 613–629, 1983.
  3. Chattopadhyay, K. C. and Thron, W. J. Extensions of closure spaces, Can. J. Math. 29 (6), –1286, 1977.
  4. Choqet, G. Sur les notions de filter et grill, Comptes Rendus Acad. Sci. Paris 224, 171–173, Fomin, S. Extensions of topological spaces, Ann. of Math. 44, 471–480, 1943.
  5. Hatir, E. and Jafari, S, On some new calsses of sets and a new decomposition of continuity via grills, J. Ads. Math. Studies. 3 (1), 33–40, 2010.
  6. Jankovi´c, D. and Hamlet, T. R. New topologies from old via ideals, Amer. Math. Monthly , 295–310, 1990.
  7. Kuratowski, K. Topology I (Academic Press, New York, 1966).
  8. Levine, N. A decomposition of continuity in topological spaces, Amer Math. Monthly 68, –41, 1961.

Details

Primary Language

English

Subjects

Statistics

Journal Section

Research Article

Authors

Ahmad Al-omari This is me

Takashi Noiri This is me

Publication Date

June 1, 2012

Submission Date

May 11, 2014

Acceptance Date

-

Published in Issue

Year 2012 Volume: 41 Number: 6

APA
Al-omari, A., & Noiri, T. (2012). WEAKLY Φ-CONTINUOUS FUNCTIONS IN GRILL TOPOLOGICAL SPACES. Hacettepe Journal of Mathematics and Statistics, 41(6), 785-793. https://izlik.org/JA79KH36JF
AMA
1.Al-omari A, Noiri T. WEAKLY Φ-CONTINUOUS FUNCTIONS IN GRILL TOPOLOGICAL SPACES. Hacettepe Journal of Mathematics and Statistics. 2012;41(6):785-793. https://izlik.org/JA79KH36JF
Chicago
Al-omari, Ahmad, and Takashi Noiri. 2012. “WEAKLY Φ-CONTINUOUS FUNCTIONS IN GRILL TOPOLOGICAL SPACES”. Hacettepe Journal of Mathematics and Statistics 41 (6): 785-93. https://izlik.org/JA79KH36JF.
EndNote
Al-omari A, Noiri T (June 1, 2012) WEAKLY Φ-CONTINUOUS FUNCTIONS IN GRILL TOPOLOGICAL SPACES. Hacettepe Journal of Mathematics and Statistics 41 6 785–793.
IEEE
[1]A. Al-omari and T. Noiri, “WEAKLY Φ-CONTINUOUS FUNCTIONS IN GRILL TOPOLOGICAL SPACES”, Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 6, pp. 785–793, June 2012, [Online]. Available: https://izlik.org/JA79KH36JF
ISNAD
Al-omari, Ahmad - Noiri, Takashi. “WEAKLY Φ-CONTINUOUS FUNCTIONS IN GRILL TOPOLOGICAL SPACES”. Hacettepe Journal of Mathematics and Statistics 41/6 (June 1, 2012): 785-793. https://izlik.org/JA79KH36JF.
JAMA
1.Al-omari A, Noiri T. WEAKLY Φ-CONTINUOUS FUNCTIONS IN GRILL TOPOLOGICAL SPACES. Hacettepe Journal of Mathematics and Statistics. 2012;41:785–793.
MLA
Al-omari, Ahmad, and Takashi Noiri. “WEAKLY Φ-CONTINUOUS FUNCTIONS IN GRILL TOPOLOGICAL SPACES”. Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 6, June 2012, pp. 785-93, https://izlik.org/JA79KH36JF.
Vancouver
1.Ahmad Al-omari, Takashi Noiri. WEAKLY Φ-CONTINUOUS FUNCTIONS IN GRILL TOPOLOGICAL SPACES. Hacettepe Journal of Mathematics and Statistics [Internet]. 2012 Jun. 1;41(6):785-93. Available from: https://izlik.org/JA79KH36JF