4 papers
Remoteness in the category of bilocales
Mbekezeli Nxumalo
In locale theory, a sublocale is said to be remote in case it misses every nowhere dense sublocale. In this paper, we introduce and study a new class of sublocales in the category…
Some variants of remote sublocales
Mbekezeli Nxumalo
We introduce and study some variants of remote sublocales, namely sublocales that are remote from dense sublocales and those that are *remote from dense sublocales. We show that th…
On the category of (i,j)-Baire Bilocales
Mbekezeli Nxumalo
We define and characterize the notion of (i,j)-Baireness for bilocales. We also give internal properties of (i,j)-Baire bilocales which are not translated from properties of (i,j)-…
Soft Spaces
Mbekezeli Sibahle Nxumalo
We present a construction of the soft reflection of a soft topological space and characterize some separation axioms developed through the soft reflection.