$\beta_\lambda$-closed spaces

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Authors :

M. K. Ghosh 1 *

Author Address :

1 Department of Mathematics, Kalyani Mahavidyalaya, Kalyani-741235, Nadia, West Bengal, India.

Abstract :

We introduce and study $\beta_\lambda$-closed spaces in generalized topological spaces (GTS) as a generalization of $\beta$-closed spaces \cite{bg1} in topological spaces. Several characterizations and mapping properties of such spaces are obtained.

Keywords :

Generalized topology, $\lambda$-space, $\lambda$-$\beta$-open, $\lambda$-$\beta$-regular, $\lambda$-$\beta$-$\theta$-open, $\beta_\lambda$-closed, $\beta_\lambda$-$\the

DOI :

10.26637/MJM0803/0015

Article Info :

Received : December 17, 2019; Accepted : May 22, 2020.