A study of some spaces related to {\𝛽}-open sets


Abstract


The purpose of this paper is to introduce weakly {𝛽}-{R<sub>0</sub>} spaces, {𝛽}-US spaces and to obtain their basic properties. It is shown that weakly {𝛽}-{R<sub>0</sub>} and 𝛽}-US spaces are preserved under pre-{𝛽}-closed injection and pre-{𝛽}$-closed bijection respectively.

DOI Code: 10.1285/i15900932v27n1p145

Keywords: Weakly semi-$R0$ spaces; Weakly ${𝛽}-{R0}$ spaces; $𝛽}-US$ spaces

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