Missouri Journal of Mathematical Sciences

$\mu$-Lindelöfness in Terms of a Hereditary Class

Abdo Qahis, Heyam Hussain AlJarrah, and Takashi Noiri

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Abstract

A hereditary class on a set $X$ is a nonempty collection of subsets of $X$ closed under the hereditary property. In this paper, we define and study the notion of Lindelöfness in generalized topological spaces with respect to a hereditary class called, $\mu\mathcal{H}$-Lindelöf spaces and discuss their properties.

Article information

Source
Missouri J. Math. Sci., Volume 28, Issue 1 (2016), 15-24.

Dates
First available in Project Euclid: 19 September 2016

Permanent link to this document
https://projecteuclid.org/euclid.mjms/1474295352

Digital Object Identifier
doi:10.35834/mjms/1474295352

Mathematical Reviews number (MathSciNet)
MR3549804

Zentralblatt MATH identifier
06647875

Subjects
Primary: 54A05: Topological spaces and generalizations (closure spaces, etc.)
Secondary: 54A08 54D10: Lower separation axioms (T0-T3, etc.)

Keywords
generalized topology $\mu$-Lindelöf space hereditary class $\mu$-covering

Citation

Qahis, Abdo; AlJarrah, Heyam Hussain; Noiri, Takashi. $\mu$-Lindelöfness in Terms of a Hereditary Class. Missouri J. Math. Sci. 28 (2016), no. 1, 15--24. doi:10.35834/mjms/1474295352. https://projecteuclid.org/euclid.mjms/1474295352


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