Full Paper View Go Back

A Comment on gpα-Closed Sets in Topoogical Spaces

J.B. Toranagatti1

Section:Research Paper, Product Type: Isroset-Journal
Vol.6 , Issue.2 , pp.73-74, Apr-2019


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.7374


Online published on Apr 30, 2019


Copyright © J.B. Toranagatti . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

View this paper at   Google Scholar | DPI Digital Library


XML View     PDF Download

How to Cite this Paper

  • IEEE Citation
  • MLA Citation
  • APA Citation
  • BibTex Citation
  • RIS Citation

IEEE Style Citation: J.B. Toranagatti, “A Comment on gpα-Closed Sets in Topoogical Spaces,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.2, pp.73-74, 2019.

MLA Style Citation: J.B. Toranagatti "A Comment on gpα-Closed Sets in Topoogical Spaces." International Journal of Scientific Research in Mathematical and Statistical Sciences 6.2 (2019): 73-74.

APA Style Citation: J.B. Toranagatti, (2019). A Comment on gpα-Closed Sets in Topoogical Spaces. International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(2), 73-74.

BibTex Style Citation:
@article{Toranagatti_2019,
author = {J.B. Toranagatti},
title = {A Comment on gpα-Closed Sets in Topoogical Spaces},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {4 2019},
volume = {6},
Issue = {2},
month = {4},
year = {2019},
issn = {2347-2693},
pages = {73-74},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1212},
doi = {https://doi.org/10.26438/ijcse/v6i2.7374}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i2.7374}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1212
TI - A Comment on gpα-Closed Sets in Topoogical Spaces
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - J.B. Toranagatti
PY - 2019
DA - 2019/04/30
PB - IJCSE, Indore, INDIA
SP - 73-74
IS - 2
VL - 6
SN - 2347-2693
ER -

351 Views    200 Downloads    70 Downloads
  
  

Abstract :
In this paper, we will show that the notations of generalized pre α-closed(gpα-closed) set and pre-closed set are equivalent.

Key-Words / Index Term :
pre-closed sets, αspg-closed sets, gαb-closed sets,gpα-closed sets

References :
[1] D. Andrijivic, “On semi pre open sets”, Mat. Vesnic, Vol 38 Issue 1, pp.24-32,1986.
[2] D. Andrijivic, “On b-open sets”, Mat. Vesnic, Vol 48, pp.59-64, 1996.
[3] M.E.Abd.El-Monsef,S.N.El-Deeb and R.A.Mahmoud, “β-open sets and β -continuous mappings”, Bull.Fac.Sci.Assiut Univ., Vol 12, pp.77-90, 1983.
[4] J.Cao,M.Ganster,I.Reilly and M.Steiner, “δ-closure,θ-closure and β-generalized closed sets”, Applied General Topology, Universidad Politecnica de Valencia, Vol 6 Issue 1, pp. 79-86, 2005.
[5] S. N. El-Deeb, I. A. Hasanein, A. S. Mashhour and T. Noiri, “On p-regular spaces”, Bull. Math. Soc. Sci. Math. R. S. Roumanie, Vol 27 Issue 75, pp.311-315, 1983.
[6] D. Iyappan, N. Nagaveni, “On semi generalized b-closed set”, Nat. Sem.on Mat. Comp. Sci., Proc.6, 2010.
[7] D.Jankovic and I.L.Reilly, “On semi-separation properties”, Indian J.Pure Appl. Math., Vol 16, pp. 957-964, 1985.
[8] N.Levine, “Semi-open sets and semi-continuity in topological spaces”, Amer. Math. Monthly,Vol 70, pp.36-41, 1963.
[9] N.Levine, “ Generalized closed sets in topology” , Rent. Circ. Mat.
[10] Palermo, Vol 19, pp.89-96, 1970.
[11] H. Maki, J. Umehara, and T. Noiri, “Every topological space is pre-T1/2”, Mem. Fac. Sci. Kochi Univ. Math., Vol 17, pp.33-42, 1996.
[12] A. S. Mashhour, M. E. Abd El-Monsef, and S. N. EL-Deeb, “ On pre-continuous and weak pre continuous mappings” , Proc. Math and Phys.Soc. Egypt, Vol 53, pp.47-53, 1982.
[13] O,Njastad, “ On some classes of nearly open sets” , Pacific.J.Math., Vol 15, pp.961-970, 1965.
[14] P.H. Patil and P.G. Patil, “ Generalized pre
-closed sets in topology” , J.New Theory, Vol 20, pp.48-56, 2018.
[15] Toshiiro Ohba and Jun-iti Umehara, “ Every topological space is semipre-α ” , Mem.Fac.Sci.Kochi Univ.(Math.), Vol 21, pp.89-
92, 2000.
[16] L. Vinayagamoorthi and N. Nagaveni, “ On generalized
αb-closed set”, Proceeding ICMD- Allahabad, Pusbha Publication, 1, 2011.

Authorization Required

 

You do not have rights to view the full text article.
Please contact administration for subscription to Journal or individual article.
Mail us at  support@isroset.org or view contact page for more details.

Go to Navigation