Research Article

A UNIFIED THEORY OF OPENNESS AND CLOSEDNESS OF FUNCTIONS

Volume: 34 January 1, 2005
EN

A UNIFIED THEORY OF OPENNESS AND CLOSEDNESS OF FUNCTIONS

Abstract

Kandil, Kerre and Nouh unified various concepts in fuzzy topological spaces by using operations. By adapting their definition of an operation and some other definitions given by these authors to topological spaces, and by giving some new definitions, we have previously achieved some unifications related to continuity, compactness, filters and graphs. Here we will study the unification of openness and closedness properties of functions, and give some results related to\varphi_{1,2}\psi_{1,2}-closed functions and \varphi_{1,2}\psi_{1,2}-compact sets.

Keywords

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

January 1, 2005

Submission Date

July 30, 2003

Acceptance Date

May 22, 2005

Published in Issue

Year 2005 Volume: 34

APA
Yalvaç, T. H. (2005). A UNIFIED THEORY OF OPENNESS AND CLOSEDNESS OF FUNCTIONS. Hacettepe Journal of Mathematics and Statistics, 34, 15-26. https://izlik.org/JA57LJ56ZT
AMA
1.Yalvaç TH. A UNIFIED THEORY OF OPENNESS AND CLOSEDNESS OF FUNCTIONS. Hacettepe Journal of Mathematics and Statistics. 2005;34:15-26. https://izlik.org/JA57LJ56ZT
Chicago
Yalvaç, T. Hatice. 2005. “A UNIFIED THEORY OF OPENNESS AND CLOSEDNESS OF FUNCTIONS”. Hacettepe Journal of Mathematics and Statistics 34 (January): 15-26. https://izlik.org/JA57LJ56ZT.
EndNote
Yalvaç TH (January 1, 2005) A UNIFIED THEORY OF OPENNESS AND CLOSEDNESS OF FUNCTIONS. Hacettepe Journal of Mathematics and Statistics 34 15–26.
IEEE
[1]T. H. Yalvaç, “A UNIFIED THEORY OF OPENNESS AND CLOSEDNESS OF FUNCTIONS”, Hacettepe Journal of Mathematics and Statistics, vol. 34, pp. 15–26, Jan. 2005, [Online]. Available: https://izlik.org/JA57LJ56ZT
ISNAD
Yalvaç, T. Hatice. “A UNIFIED THEORY OF OPENNESS AND CLOSEDNESS OF FUNCTIONS”. Hacettepe Journal of Mathematics and Statistics 34 (January 1, 2005): 15-26. https://izlik.org/JA57LJ56ZT.
JAMA
1.Yalvaç TH. A UNIFIED THEORY OF OPENNESS AND CLOSEDNESS OF FUNCTIONS. Hacettepe Journal of Mathematics and Statistics. 2005;34:15–26.
MLA
Yalvaç, T. Hatice. “A UNIFIED THEORY OF OPENNESS AND CLOSEDNESS OF FUNCTIONS”. Hacettepe Journal of Mathematics and Statistics, vol. 34, Jan. 2005, pp. 15-26, https://izlik.org/JA57LJ56ZT.
Vancouver
1.T. Hatice Yalvaç. A UNIFIED THEORY OF OPENNESS AND CLOSEDNESS OF FUNCTIONS. Hacettepe Journal of Mathematics and Statistics [Internet]. 2005 Jan. 1;34:15-26. Available from: https://izlik.org/JA57LJ56ZT