Research Article

New Operators in Ideal Topological Spaces and Their Closure Spaces

Volume: 3 Number: 2 December 30, 2019
EN

New Operators in Ideal Topological Spaces and Their Closure Spaces

Abstract

In this paper, we introduce two operators associated with ψ* and *ψ operators in ideal topological spaces and discuss the properties of these operators. We give further characterizations of Hayashi-Samuel spaces with the help of these two operators. We also give a brief discussion on homeomorphism of generalized closure spaces which were induced by these two operators.

Keywords

References

  1. [1] K. Kuratowski, Topology, Vol. I. New York: Academic Press, 1966.
  2. [2] R.Vaidyanathswamy, The localisation theory in set topology, Proc. India Acad. Sci., 20 (1945) 51-61.
  3. [3] T. R. Hamlett, D.Jankovi , Ideals in Topological Spaces and the Set Operator , Bollettino U. M. I., 7 (4-B) (1990) 863-874.
  4. [4] D. Jankovi , T.R. Hamlett, New topologies from old via ideals, Amer. Math. Monthly, 97 (1990) 295-310.
  5. [5] P. Samuels, A topology formed from a given topology and ideal, J. Lond. Math. Soc., 10 (1975) 409-416.
  6. [6] E. Hayashi, Topologies defined by local properties, Math. Ann., 156 (1964) 205-215.
  7. [7] H. Hashimoto, On the *-topology and its application, Fund. Math., 91 (1976) 5-10.
  8. [8] R.L. Newcomb, Topologies Which are Compact Modulo an Ideal, Ph.D. Dissertation, Univ. of Cal. at Santa Barbara, 1967.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

December 30, 2019

Submission Date

August 10, 2019

Acceptance Date

December 19, 2019

Published in Issue

Year 2019 Volume: 3 Number: 2

APA
Modak, S., & Islam, M. M. (2019). New Operators in Ideal Topological Spaces and Their Closure Spaces. Aksaray University Journal of Science and Engineering, 3(2), 112-128. https://doi.org/10.29002/asujse.605003
AMA
1.Modak S, Islam MM. New Operators in Ideal Topological Spaces and Their Closure Spaces. Aksaray J. Sci. Eng. 2019;3(2):112-128. doi:10.29002/asujse.605003
Chicago
Modak, Shyamapada, and Md Monirul Islam. 2019. “New Operators in Ideal Topological Spaces and Their Closure Spaces”. Aksaray University Journal of Science and Engineering 3 (2): 112-28. https://doi.org/10.29002/asujse.605003.
EndNote
Modak S, Islam MM (December 1, 2019) New Operators in Ideal Topological Spaces and Their Closure Spaces. Aksaray University Journal of Science and Engineering 3 2 112–128.
IEEE
[1]S. Modak and M. M. Islam, “New Operators in Ideal Topological Spaces and Their Closure Spaces”, Aksaray J. Sci. Eng., vol. 3, no. 2, pp. 112–128, Dec. 2019, doi: 10.29002/asujse.605003.
ISNAD
Modak, Shyamapada - Islam, Md Monirul. “New Operators in Ideal Topological Spaces and Their Closure Spaces”. Aksaray University Journal of Science and Engineering 3/2 (December 1, 2019): 112-128. https://doi.org/10.29002/asujse.605003.
JAMA
1.Modak S, Islam MM. New Operators in Ideal Topological Spaces and Their Closure Spaces. Aksaray J. Sci. Eng. 2019;3:112–128.
MLA
Modak, Shyamapada, and Md Monirul Islam. “New Operators in Ideal Topological Spaces and Their Closure Spaces”. Aksaray University Journal of Science and Engineering, vol. 3, no. 2, Dec. 2019, pp. 112-28, doi:10.29002/asujse.605003.
Vancouver
1.Shyamapada Modak, Md Monirul Islam. New Operators in Ideal Topological Spaces and Their Closure Spaces. Aksaray J. Sci. Eng. 2019 Dec. 1;3(2):112-28. doi:10.29002/asujse.605003

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