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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.
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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 -
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.
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