A classification of H-closed extensions
A classification scheme for axioms weaker than
A connected locally connected countable space which is almost regular
A generalisation of almost-compactness, with an associated generalisation of completeness
A generalization of -sets and -sets by means of operators associated with a topology and associated functions.
A new ordered compactification.
A note on countable connected locally connected Urysohn almost regular spaces
A note on and topological spaces
A note on -topological spaces
A note on semihomeomorphism between semi spaces
A note on topological properties of non-Hausdorff manifolds.
A note on weakly hereditarily closure-preserving families.
A Regular Space Without a Uniformly Regular Quasi-Uniformity.
A research on characterizations of semi- spaces.
A short note on separable frames
Following the introduction of separability in frames ([2]) we investigate further properties of this notion and establish some consequences of the Urysohn metrization theorem for frames that are frame counterparts of corresponding results in spaces. In particular we also show that regular subframes of compact metrizable frames are metrizable.
A tiny peculiar Fréchet space
Additional characterizations of the and weaker separation axioms
Aposyndesis in
We consider the Golomb and the Kirch topologies in the set of natural numbers. Among other results, we show that while with the Kirch topology every arithmetic progression is aposyndetic, in the Golomb topology only for those arithmetic progressions with the property that every prime number that divides also divides , it follows that being connected, being Brown, being totally Brown, and being aposyndetic are all equivalent. This characterizes the arithmetic progressions which are aposyndetic...
Application on local discrete expansion.
Axiom and the Simmons sublocale theorem
More precisely, we are analyzing some of H. Simmons, S. B. Niefield and K. I. Rosenthal results concerning sublocales induced by subspaces. H. Simmons was concerned with the question when the coframe of sublocales is Boolean; he recognized the role of the axiom for the relation of certain degrees of scatteredness but did not emphasize its role in the relation between sublocales and subspaces. S. B. Niefield and K. I. Rosenthal just mention this axiom in a remark about Simmons’ result. In this...