Finite dimensional covers of metric-fine spaces
Generalized dyadic spaces
Geometric and higher order logic in terms of abstract Stone duality.
Homotopically labile points of locally compact metric spaces
...-kompakte Räume.
Local compactness in approach spaces. I.
Local compactness in approach spaces. II.
Local compactness in bitopological hyperspace
Local compactness in bitopological spaces
Locally compact F-spaces, sub-stonean spaces and quotients of locally compact groups.
Locally compact perfectly normal spaces may all be paracompact
We work towards establishing that if it is consistent that there is a supercompact cardinal then it is consistent that every locally compact perfectly normal space is paracompact. At a crucial step we use some still unpublished results announced by Todorcevic. Modulo this and the large cardinal, this answers a question of S. Watson. Modulo these same unpublished results, we also show that if it is consistent that there is a supercompact cardinal, it is consistent that every locally compact space...
Locally compact spaces whose Alexandroff one-point compactifications are perfect
Locally nice spaces under Martin's axiom
Mappings and inductive invariants
Measure-Theoretic Characterizations of Certain Topological Properties
It is shown that Čech completeness, ultracompleteness and local compactness can be defined by demanding that certain equivalences hold between certain classes of Baire measures or by demanding that certain classes of Baire measures have non-empty support. This shows that these three topological properties are measurable, similarly to the classical examples of compact spaces, pseudo-compact spaces and realcompact spaces.
Near metric properties of function spaces
"Near metric" properties of the space of continuous real-valued functions on a space X with the compact-open topology or with the topology of pointwise convergence are examined. In particular, it is investigated when these spaces are stratifiable or cometrisable.
On a class of subalgebras of C(X) with applications to βX
On binary coproducts of frames
The structure of binary coproducts in the category of frames is analyzed, and the results are then applied widely in the study of compactness, local compactness (continuous frames), separatedness, pushouts and closed frame homomorphisms.
On bitopological local compactness
On one-point -compactification and local - compactness