7 papers · 1 filter
On locally LC-spaces
Julian Dontchev, Maximilian Ganster, Alev Kanibir
A topological space is called a locally LC-space if every point of has a neighborhood such that every Lindelöf subset of is a closed subset of .…
Extremally -spaces and Related Spaces
Julian Dontchev, Maximilian Ganster, Laszlo Zsilinszky
The aim of this paper is introduce and initiate the study of extremally -spaces, i.e., the spaces where all hereditarily compact -subspaces are closed. A -space is a…
On a stronger form of hereditary compactness in product spaces
Julian Dontchev, Maximilian Ganster
The aim of this paper is to continue the study of sg-compact spaces. The class of sg-compact spaces is a proper subclass of the class of hereditarily compact spaces. In our paper w…
On p-closed spaces
Julian Dontchev, Maximilian Ganster, Takashi Noiri
In this paper we will continue the study of p-closed spaces. This class of spaces is strictly placed between the class of strongly compact spaces and the class of quasi-H-closed sp…
An answer to a question of Coleman on scattered sets
Julian Dontchev, Maximilian Ganster
The aim of this paper is to show that every scattered subset of a dense-in-itself semi--space is nowhere dense. We are thus able to answer a recent question of Coleman in the…
A remark on -locally closed sets
Julian Dontchev, Maximilian Ganster
The aim of this note is to show that every subset of a given topological space is the intersection of a preopen and a preclosed set, therefore -locally closed, and that every to…