J. Dontchev

collaborators

18 papers

math.GN1999

Idealization of Ganster-Reilly decomposition theorems

Julian Dontchev

In 1990, Ganster and Reilly proved that a function is continuous if and only if it is precontinuous and LC-continuous. In this paper we extend their decomposition of continuity in…

math.GN1998

On locally LC-spaces

Julian Dontchev, Maximilian Ganster, Alev Kanibir

A topological space $(X, τ)$ is called a locally LC-space if every point of $X$ has a neighborhood $U$ such that every Lindelöf subset of $(U, τ ∣ U)$ is a closed subset of $(U, τ ∣ U)$ .…

math.GN1998

Extremally $T_{1}$ -spaces and Related Spaces

Julian Dontchev, Maximilian Ganster, Laszlo Zsilinszky

The aim of this paper is introduce and initiate the study of extremally $T_{1}$ -spaces, i.e., the spaces where all hereditarily compact $C_{2}$ -subspaces are closed. A $C_{2}$ -space is a…

math.GN1998

An answer to a question of Pyrih

Julian Dontchev

We answer a recent question of Pyrih by proving that a topological space $(X, τ)$ is open-normal if and only if it is extremally disconnected.

math.GN1998

Topological properties defined in terms of generalized open sets

Julian Dontchev

This paper covers some recent progress in the study of sg-open sets, sg-compact spaces, N-scattered spaces and some related concepts. A subset $A$ of a topological space $(X, τ)$ is…

math.GN1998

Between $A$ - and $B$ -sets

Julian Dontchev

The aim of this paper is to introduce the class of $A B$ -sets as the sets that are the intersection of an open and a semi-regular set. Several classes of well-known to…

Idealization of Ganster-Reilly decomposition theorems

On locally LC-spaces

Extremally T1​-spaces and Related Spaces

An answer to a question of Pyrih

Topological properties defined in terms of generalized open sets

Between A- and B-sets

Extremally $T_{1}$ -spaces and Related Spaces

Between $A$ - and $B$ -sets