Araştırma Makalesi

New Operators in Ideal Topological Spaces and Their Closure Spaces

Cilt: 3 Sayı: 2 30 Aralık 2019
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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

Kaynakça

  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.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Aralık 2019

Gönderilme Tarihi

10 Ağustos 2019

Kabul Tarihi

19 Aralık 2019

Yayımlandığı Sayı

Yıl 2019 Cilt: 3 Sayı: 2

Kaynak Göster

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
Aksaray J. Sci. Eng. | e-ISSN: 2587-1277 | Period: Biannually | Founded: 2017 | Publisher: Aksaray University | https://asujse.aksaray.edu.tr