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Totally g#ψ - Continuous Functions and g#ψ - Totally Continuous Functions in Topological Spaces

S . Deepika1 , N. Balamani2

Section:Research Paper, Product Type: Isroset-Journal
Vol.6 , Issue.2 , pp.11-15, Apr-2019


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.1115


Online published on Apr 30, 2019


Copyright © S . Deepika, N. Balamani . 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: S . Deepika, N. Balamani, “Totally g#ψ - Continuous Functions and g#ψ - Totally Continuous Functions in Topological Spaces,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.2, pp.11-15, 2019.

MLA Style Citation: S . Deepika, N. Balamani "Totally g#ψ - Continuous Functions and g#ψ - Totally Continuous Functions in Topological Spaces." International Journal of Scientific Research in Mathematical and Statistical Sciences 6.2 (2019): 11-15.

APA Style Citation: S . Deepika, N. Balamani, (2019). Totally g#ψ - Continuous Functions and g#ψ - Totally Continuous Functions in Topological Spaces. International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(2), 11-15.

BibTex Style Citation:
@article{Deepika_2019,
author = {S . Deepika, N. Balamani},
title = {Totally g#ψ - Continuous Functions and g#ψ - Totally Continuous Functions in Topological 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 = {11-15},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1202},
doi = {https://doi.org/10.26438/ijcse/v6i2.1115}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i2.1115}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1202
TI - Totally g#ψ - Continuous Functions and g#ψ - Totally Continuous Functions in Topological Spaces
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - S . Deepika, N. Balamani
PY - 2019
DA - 2019/04/30
PB - IJCSE, Indore, INDIA
SP - 11-15
IS - 2
VL - 6
SN - 2347-2693
ER -

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Abstract :
In this paper we introduce a new type of functions called totally g#ψ - continuous function and g#ψ - totally continuous functions in topological spaces. Also we study the interrelation between these functions.

Key-Words / Index Term :
Totally continuous function, g#ψ - continuous function, g#ψ - closed set and g#ψ - open set

References :
[1]. Balachandran, K., Sundaram , P. and Maki , H. , “on generalized continuous maps in topological spaces” , Mem. Fac. Sci .Kochi Univ. Math , vol .12, pp.5-13, 1991.
[2]. Bhattacharyya, P. and Lahiri, B.K. “ Semi-generalized closed sets in topology”, Indian J. Math., vol .29, pp 376-382 , 1987.
[3]. Jain, R.C. “ Role of regular open sets in general topology”, Ph.D. thesis, Meerut University, Meerut, India, 1980.
[4]. Kanimozhi, K. and Balamani, N. “g#ψ - closed sets in topological spaces” Imperial Journal of Interdisciplinary Research (IJIR) - vol .3, pp.1931-1935, 2017.
[5]. Kanimozhi, K. and Balamani, N. “g#ψ - closed sets in topological spaces, M.Sc Thesis” , Avinashilingam Institute for Home Science and Higher Education for Women University, Coimbatore , India. 2017.
[6]. Levine, N. “ semi open sets and semi continuity in topological spaces”, Amer. Math. Monthly, vol.70, pp.36-41, 1963.
[7]. Levine, N. “Generalized closed sets in topology”, Rend. Circ. Math. Palermo, vol.19, pp.89 - 96, 1970.
[8]. Veera kumar, M.K.R.S. “ Between semi-closed sets and semi-pre closed sets”, Rend. Istit. Mat. Univ. Trieste, (ITALY), XXXXII, pp.25-41, 2000.

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