We construct a consistent example of a topological space Y= X∪ { ∞} such that: (1) Y is regular. (2) Every Gδ subset of Y is open. (3) The point ∞ is not isolated, but it is not in the closure of any discrete subset of X
In this paper we define a topological space X to be θ-regular if every filterbase in X with a nonemp...
A topological space X is called discretely generated if for every subset A X we have A = {D : D A ...
AbstractIn this paper we investigate for nowhere locally compact realcompact spaces X the question w...
We construct a consistent example of a topological space Y= X∪ { ∞} such that: (1) Y is regular. (2)...
AbstractA discretely weak P-set is a nowhere dense closed set which is disjoint from the closure of ...
AbstractContinuing the study initiated by Dow, Tkachenko, Tkachuk and Wilson, we prove that countabl...
AbstractSome problems in the theory of R-closed spaces are solved by showing that every regular spac...
Summary. A topological space X is called almost discrete if every open subset of X is closed; equiva...
Summary. A topological space X is called almost discrete if every open subset of X is closed; equiva...
This chapter discusses what completely regular space (X) can be characterized by the fact that some,...
In this paper, it is proved that a space Y is discrete if and only if every sequentially quotient ma...
AbstractF.B. Jones has proved that for many different topological properties P if there exists a non...
AbstractA T1 space in which the intersection or any countably many open sets is open, is called a P-...
AbstractA regular space is T-finite if and only if it is hereditarily strongly collectionwise Hausdo...
Abstract. We give a partial solution to a question by Alas, Junqueria and Wilson by proving that und...
In this paper we define a topological space X to be θ-regular if every filterbase in X with a nonemp...
A topological space X is called discretely generated if for every subset A X we have A = {D : D A ...
AbstractIn this paper we investigate for nowhere locally compact realcompact spaces X the question w...
We construct a consistent example of a topological space Y= X∪ { ∞} such that: (1) Y is regular. (2)...
AbstractA discretely weak P-set is a nowhere dense closed set which is disjoint from the closure of ...
AbstractContinuing the study initiated by Dow, Tkachenko, Tkachuk and Wilson, we prove that countabl...
AbstractSome problems in the theory of R-closed spaces are solved by showing that every regular spac...
Summary. A topological space X is called almost discrete if every open subset of X is closed; equiva...
Summary. A topological space X is called almost discrete if every open subset of X is closed; equiva...
This chapter discusses what completely regular space (X) can be characterized by the fact that some,...
In this paper, it is proved that a space Y is discrete if and only if every sequentially quotient ma...
AbstractF.B. Jones has proved that for many different topological properties P if there exists a non...
AbstractA T1 space in which the intersection or any countably many open sets is open, is called a P-...
AbstractA regular space is T-finite if and only if it is hereditarily strongly collectionwise Hausdo...
Abstract. We give a partial solution to a question by Alas, Junqueria and Wilson by proving that und...
In this paper we define a topological space X to be θ-regular if every filterbase in X with a nonemp...
A topological space X is called discretely generated if for every subset A X we have A = {D : D A ...
AbstractIn this paper we investigate for nowhere locally compact realcompact spaces X the question w...
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