On hereditary normality of , Kunen points and character
We show that is not normal, if is a limit point of some countable subset of , consisting of points of character . Moreover, such a point is a Kunen point and a super Kunen point.
On homomorphisms of groups of integer-valued functions.
On interior monotone mappings.
On Inverse Limit Of Function Spaces
On -spaces and -spaces
In this note we study the relation between -spaces and -spaces and prove that a -space with a -hereditarily closure-preserving -network consisting of compact subsets is a -space, and that a -space with a point-countable -network consisting of compact subsets need not be a -space.
On lattice-topological properties of general Wallman spaces.
On left-separated compact spaces
On lexicographic products
On linearly topologized spaces and real-compact spaces
On linearly topologized spaces and real-compact spaces - II
On locales whose countably compact sublocales have compact closure
Among completely regular locales, we characterize those that have the feature described in the title. They are, of course, localic analogues of what are called -isocompact spaces. They have been considered in T. Dube, I. Naidoo, C. N. Ncube (2014), so here we give new characterizations that do not appear in this reference.
On locally connected plane one-to-one continuous images of [0,∞)
On locally finite coverings
On locally H-closed spaces and the Fomin H-closed extension
On locally -closed spaces
Si studiano le condizioni sotto cui l’immagine (o l'immagine inversa) di uno spazio localmente -chiuso sia localmente -chiuso.
On locally s-closed spaces.
On Manes' countably compact, countably tight, non-compact spaces
We give a straightforward topological description of a class of spaces that are separable, countably compact, countably tight and Urysohn, but not compact or sequential. We then show that this is the same class of spaces constructed by Manes [Monads in topology, Topology Appl. 157 (2010), 961--989] using a category-theoretical framework.
On maps: Continuous, closed, perfect, and with closed graph.
On maps of spaces determined by countable subspaces
On maps preserving connectedness and/or compactness
We call a function P-preserving if, for every subspace with property P, its image also has property P. Of course, all continuous maps are both compactness- and connectedness-preserving and the natural question about when the converse of this holds, i.e. under what conditions such a map is continuous, has a long history. Our main result is that any nontrivial product function, i.e. one having at least two nonconstant factors, that has connected domain, range, and is connectedness-preserving...