-dimension function of bitopological spaces
-closed sets in biclosure spaces
In the present paper, we introduce and study the concept of -closed sets in biclosure spaces and investigate its behavior. We also introduce and study the concept of -continuous maps.
A metrizable completely regular ordered space
We construct a completely regular ordered space such that is an -space, the topology of is metrizable and the bitopological space is pairwise regular, but not pairwise completely regular. (Here denotes the upper topology and the lower topology of .)
A note on pairwise c-compact bitopological spaces
A note on Raghavan-Reilly's pairwise paracompactness.
A note on the comparison of topologies.
A remark on Fox's paper on shape
Absolute fixed point sets and AR-spaces
Alternative definitions of -density topology
Biframe compactifications
Compactifications of biframes are defined, and characterized internally by means of strong inclusions. The existing description of the compact, zero-dimensional coreflection of a biframe is used to characterize all zero-dimensional compactifications, and a criterion identifying them by their strong inclusions is given. In contrast to the above, two sufficient conditions and several examples show that the existence of smallest biframe compactifications differs significantly from the corresponding...
Binormality of Banach spaces
We study binormality, a separation property of spaces endowed with two topologies known in the real analysis as the Luzin-Menchoff property. The main object of our interest are Banach spaces with their norm and weak topologies. We show that every separable Banach space is binormal and the space is not binormal.
Bitopological hyperspaces equipped with upper semi-finite snd lower semi-finite topologies
Bitopological local Lindelöfness
Bitopological spaces from quasi-proximities
Cardinal invariants of bitopological spaces
Characterization of ultra separation axioms via -kernel.
Characterizations of basic bitopological separation axioms
Characterizations of some bitopological separation axioms in terms of - closure operator
Correction to the paper: Pairwise monotonically normal spaces
Correction to the paper: Sets invariant under projections onto one dimensional subspaces