The week's pick
Reseach Article
On Generalized D-Closed Set
by
H. Jude Immaculate,
I. Arockiarani
| International Journal of Computer Applications |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 89 - Number 18 |
| Year of Publication: 2014 |
| Authors: H. Jude Immaculate, I. Arockiarani |
10.5120/15730-4530
|
H. Jude Immaculate, I. Arockiarani . On Generalized D-Closed Set. International Journal of Computer Applications. 89, 18 ( March 2014), 12-17. DOI=10.5120/15730-4530
@article{
10.5120/15730-4530,
author = {
H. Jude Immaculate,
I. Arockiarani
},
title = { On Generalized D-Closed Set },
journal = {
International Journal of Computer Applications
},
issue_date = { March 2014 },
volume = { 89 },
number = { 18 },
month = { March },
year = { 2014 },
issn = { 0975-8887 },
pages = {
12-17
},
numpages = {9},
url = {
https://ijcaonline.org/archives/volume89/number18/15730-4530/
},
doi = { 10.5120/15730-4530 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:09:34.225004+05:30
%A H. Jude Immaculate
%A I. Arockiarani
%T On Generalized D-Closed Set
%J International Journal of Computer Applications
%@ 0975-8887
%V 89
%N 18
%P 12-17
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract
In this paper we present a new class of sets and functions namely gd-closed sets, gd-irresolute functions in the light of d-open sets in topological spaces. Further some of their characterizations are investigated with counter examples.
References
- D. Andrijevic, "Semi-preopen sets", Mat. Vesnik,38(1) (1986) 24-32.
- D. Andrijevic, "On b-open sets", Mat Vesnik 48(1996), no 1-2, 59-64.
- S. P. Arya and T. M. Nour, "Characterizations of S-normal spaces", Indian J. Pure. Appl. Math. 21(1990). no. 8, 717-719.
- M. E. Abd. El-Monsef, S. N El-Deeb and R. A Mohmoud,'?-open sets and ?-continuous mapping", Bull. Fac. Sci. Assuit Univ. 12(1983),77-90.
- P. Bhattacharyya and B. K. Lahiri,"Semigeneralized closed sets in topology", Indian
- . J. Math. 29(1987)no. 3, 375-382(1988)
- M. C. Cueva, "On g-closed sets and g-continuous mappings:,Kyungpook Math. J. vol3,2(1993), 205-209.
- R. Devi, K. Balachandran and I. Maki, Generalized ?-closed maps and ?-generalized closed maps. Indian J. Pure. Appl. Math. ,29(1)(1998),37-49.
- J. Dontchev, "On generalizing semi-preopen sets", Mem. Fac. Sci. Kochi. Univ. Ser. A. Math. 16(1995), 35-48.
- Gnanambal. Y
- On generalized pre-regular closed sets in topological spaces. India. J. pure Appl. Math. 28(3):351-360.
- Jude Immaculate. H and I. Arockiarani," A note on d-locally closed sets", International Journal of Mathematical Archive (2014)(Feb)(Accepted ).
- N. Levine, "Semi-open sets and semi-continuity in topological spaces", Amer. Math. Monthly 70(1963), 36-41
- N. Levine, "Generalized closed set in topology", Rend. Circ. Math. Palermo, 19(2), (1970), 489-96.
- H. Maki, R. Devi and K. Balachandran,, "Associated topologies of generalized ?-closed sets and ?-generalized closed set",Mem. Fac. Sci. Kochi. Univ. Ser. A. Math 15(1994), 51-63.
- H. Maki, J. Umerhara and T. Noiri, "Every topological space is preT_(1/2)",Mem. Fac. Sci. Kochi. Univ. Ser. A. Math 17(1996)33-42.
- A. S. Mashhour, Abd El-Monsef, M. E. and S. N. El-Deeb, "On precontinuous and weak precontinuous functions", Proc. Math. Phys. Soc. Egypt 51(1982), 47-53.
- T. Noiri, A. Al-Omari and M. S. M. Noorani, "Weakly b-open functions", Mathematica Belkanica 23(2009),Fasc(1-2)1-14
- O. Njastad," On some classes of nearly open sets", Pacific J. Math 15(1965)961-970.
- Palaniappan. N and K. C. Rao(1993) Regular generalized closed sets. Kyungpook Math. J 33:211- 219.
- S. Willard,"General topology spaces", Addison Wesley,1970.
Index Terms
Computer Science
Information Sciences
Keywords