Generalizations of Lindelöf spaces via hereditary classes

Author:

Al-omari Ahmad1,Noiri Takashi2

Affiliation:

1. Al al-Bayt University Faculty of Sciences , Department of Mathematics P.O. Box 130095, Mafraq 25113 , Jordan

2. 2949-1 Shiokita-cho, Hinagu Yatsushiro-shi, Kumamoto-ken 869-5142 Japan

Abstract

Abstract In this paper by using hereditary classes [6], we define the notion of γ -Lindelöf modulo hereditary classes called γℋ-Lindelöf and obtain several properties of γℋ-Lindelöf spaces.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference15 articles.

1. [1] A. Al-Omari and T. Noiri, On operators in ideal minimal spaces, Mathematica, 58 (81), No 1-2, (2016), 3–13.

2. [2] A. Al-Omari and T. Noiri, Operators in minimal spaces with hereditary classes, Mathematica, 61 (84), No 2, (2019), 101–110.10.24193/mathcluj.2019.2.01

3. [3] A. Al-Omari and T. Noiri, Properties of γℋ-compact spaces with hereditary classes, Atti della Accademia Peloritana dei Pericolanti, Classe di Scienze Fisiche, Matematiche e Naturali, 98 No. 2 (2020), A4 [11 pages].

4. [4] T. V. An, D. X. Cuong and H. Maki, On operation-preopen sets in topological spaces, Sci. Math. Japon., 68 (2008), 11–30.

5. [5] C. Carpintero, E. Rosas, M. Salas-Brown and J. Sanabria, µ-Compactness with respect to a hereditary class, Bol. Soc. Paran. Mat. (3s), 34(2) (2016), 231–236.10.5269/bspm.v34i2.27177

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