β-SELECTION PROPERTIES IN DITOPOLOGICAL TEXTURE SPACES

In the present paper, we continue previous investigations on the selection properties in ditopological texture spaces. We introduce the β-Menger and β-Rothberger properties and examine some their properties in ditopological texture spaces. The subject of our investigation is also the preservation of β-Menger property under subspaces, products, and -continuous mappings.

Keywords:

difunction, Ditopological texture space, difunction β-selection principles, β-bicontinuity,

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