Generalised Semi Closed Sets in Grill Topological Spaces

Authors

  • Y. Palaniappan Associate Professor of Mathematics (Retd.), Arignar Anna Government Arts College, Musiri, Tamilnadu, India
  • S. Vibin Salim Raj M. Phil, Scholar, Arignar Anna Government Arts College, Musiri, Tamilnadu, India
  • V. Senthil Kumaran Associate Professor of Mathematics, Arignar Anna Government Arts College, Musiri, Tamilnadu, India

DOI:

https://doi.org/10.53555/nnms.v8i9.1033

Keywords:

gs closed, topology , operator , G(gs)* closed.

Abstract

The purpose of this paper is to introduce and investigate a new class of generalized semi closed sets in terms of Grill G on X. The characterization of such sets along with certain other properties of them are obtained.

References

G Choquet, “Sur les notions de filter et grille”, comptesRendus Acad. Sci. Paris, 224(1947), 171-173

DhananjoyMandal and M.N. Mukherjee, “On a type of generalized closed sets”, Bol. Soc. Paran. Mat. 301 (2012), 67-76

S. Fomin, “Extensions of topological spaces”, Ann. Math, 44 (1943), 471-480

N. Levine, “Generalized closed sets in topology”, Rend. cire. Mat, Palermo, (2), 19(1970), 89–96

B. Roy and M.N. Mukherjee, “On a typical topology induced by a grill”, Sooochow J. Math, 33(4) (2007), 771-786

M.H. Stone, “Application of the theory of Boolean rings to general topology”, Trans, Amer, Math. Soc., 41 (1937), 374-481

M.K.R.S. Veerakumar, “Between closed and g closed sets,” Mem. Fac. Sci Kochi. Univer. Math vol 21(2000), 1-19

Downloads

Published

2021-09-30

How to Cite

Palaniappan, Y., Raj, S. V. S. ., & Kumaran, V. S. . (2021). Generalised Semi Closed Sets in Grill Topological Spaces. Journal of Advance Research in Mathematics And Statistics (ISSN 2208-2409), 8(9), 01-06. https://doi.org/10.53555/nnms.v8i9.1033