rc-operator on topological spaces

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DOI:

https://doi.org/10.26637/MJM0804/0119

Abstract

In this paper a new operator called rc-operator on topological spaces is introduced. Conditions for the operator to be an expansive,shrinking and invariant operator is determined. It is also shown that regular closed sets are fixed points of this operator.

Keywords:

Closure, Interior, regular closed sets, rc-operator

Mathematics Subject Classification:

Mathematics
  • N. Anuradha Department of Mathematics, Government Brennen College, Dharmadam, Thalassery–670101, Kerala, India.
  • Pages: 2026-2028
  • Date Published: 01-10-2020
  • Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

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James R Munkres, Topology, Second Edition, PHI Learning Private Limited, 2012.

Simmons G F, Introduction to Topology and Modern Analysis, Tata Mc Graw Hill Education Private Limited, Fifteenth Reprint, 2011.

Stone M. H: Application of the theory of Boolean Algebras to General Topology, Trans. Amer. Math. Soc.., 41(1937), 375-481.

  • NA

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Published

01-10-2020

How to Cite

N. Anuradha. “rc-Operator on Topological Spaces”. Malaya Journal of Matematik, vol. 8, no. 04, Oct. 2020, pp. 2026-8, doi:10.26637/MJM0804/0119.