[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5391/JKIIS.2002.12.2.187

Smooth neighborhood structures

Ramadan, A.A. (Department of Mathematics, Faculty of Science, Cairo University, Beni-Suef, Egypt)
Kim, Y.C. (Department of Mathematics, Kangnung National University)
El-Gayyar, M.M. (Department of Mathematics, Faculty of Engineering, Suez-Canal University, Port Said, Egypt)

Publication Information

Journal of the Korean Institute of Intelligent Systems / v.12, no.2, 2002 , pp. 187-191 More about this Journal

Abstract

In this paper, we introduce the notion of smooth neighborhoods in smooth topological spaces and investigate some of their properties. In particular, we can obtain some smooth topologies from a smooth neighborhood system.

Keywords

Smooth topological spaces; Smooth neighborhood structures; Smooth continuous maps;

Citations & Related Records

Reference

1	On the method of neighborhood systems in fuzzy topology / [ Mingsheng Ying ] / Fuzzy Sets and Systems DOI ScienceOn
2	M valued sets and Sheaves over integral commutative cI-monoids / [ U. Heohle;S. E. Rodabaugh(ed.);E. P. Klement(ed.);U. Heohle(ed.) ] / Applications of Category theory to Fuzzy subsets
3	Fuzzy topological spaces / [ C. L. Chang ] / J. Math. Anal. Appl. DOI
4	On fuzzy topological structures / [ A. Shostak ] / Supp. Rend. Circ. Matem. Palermo.
5	A new approach for fuzzy topology I / [ Mingsheng Ying ] / Fuzzy Sets and Systems DOI
6	Smooth topological spaces / [ A. A. Ramadan ] / Fuzzy Sets and Systems DOI ScienceOn
7	Neighborhood structures of smooth topological spaces / [ Mustafa Demirci ] / Fuzzy Sets and Systems DOI ScienceOn
8	Mathematics of Fuzzy sets: Logic, Topology, and Measure Theory / [ U. Heohle;S. E. Rodabaugh ] / The Handbooks of Fuzzy Sets Series
9	On several types of compactness in smooth topological spaces / [ Mustafa Demirci ] / Fuzzy Sets and Systems DOI ScienceOn
10	Almost Compactness and near Compactness in smooth topological spaces / [ M. K. El Gayyar;E. E. Kerre;A. A. Ramadan ] / Fuzzy Sets and Systems DOI ScienceOn
11	On smoth topological spaces IV / [ A. A. Ramadan;S.N. El-Deeb;M.A. Abdel-Sattar ] / Fuzzy Sets and Systems DOI ScienceOn
12	Gradation of openness, Fuzzy topology / [ K.C.Chattopadhyay;R.N.Hazra;S.K.Samanta ] / Fuzzy Sets and Systems DOI ScienceOn
13	A study of fuzzy smooth structures and some applications / [ M. K. El Gayyar ] / Ph.D. thesis, Suez-Canal University