PS-closed bitopological spaces
rc-continuous functions and functions with rc-strongly closed graph.
Real-valued functions on Alexandroff (zero-set) spaces
Recurrent functions and semigroups.
Regarding a question about the least element map
Relations between ß X / X and a Certain Subspace of ... X.
Semi-precontinuous functions and properties of generalized semi-preclosed sets in topological spaces.
Some applications of tiny sequences
Some Baire category type theorems for
Some characterizations of bitopological connectivity properties
Special lattices of compactifications
Stone lattices: a topological approach
Strongly irresolvable spaces.
The fixed point set of open mappings on extremally disconnected spaces
We give an example of an extremally disconnected compact Hausdorff space with an open continuous selfmap such that the fixed point set is nonvoid and nowhere dense, respṫhat there is exactly one nonisolated fixed point.
The measure algebra does not always embed
The Open Colouring Axiom implies that the measure algebra cannot be embedded into P(ℕ)/fin. We also discuss errors in previous results on the embeddability of the measure algebra.
The regular open algebra of βRR is not equal to the completion of P(ω)/fin
Two compact spaces are co-absoluteif their respective regular open algebras are isomorphic (i.e. homeomorphic Gleason covers). We prove that it is consistent that βω and βℝ are not co-absolute.
There is no universal totally disconnected space
Totally disconnected compactifications.
Transformation groups with no equicontinuous minimal set
Two results on special points
We show that there is a nowhere ccc σ-compact space which has a remote point. We show that it is consistent to have a non-compact σ-compact separable space X such that every point of the remainder is a limit of a countable discrete subset of non-isolated points of X. This example shows that one cannot prove in ZFC that every locally compact non-compact space has discrete weak P-points.