β-selection properties in ditopological texture spaces
1Kilis 7 Aralik University, Department of Mathematics
2Hacettepe University, Department of Secondary Science and Mathematics Education
2Hacettepe University, Department of Secondary Science and Mathematics Education
Sigma J Eng Nat Sci 2020; 38(2): 1019-1029
Abstract
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 β-continuous mappings.
Keywords: Ditopological texture space, difunction, β-selection principles, β-bicontinuity.
