All the higher separation axioms in topology, except for complete regularity, are known to have sandwich-type characterizations. This note provides a characterization of complete regularity in terms of inserting a continuous real-valued function. The known fact that each continuous real valued function on a compact subset o fa Tychonoff space has a continuous extension to the whole space is obtained as a corollary
AbstractGiven a space Y, let us say that a space X is a total extender for Y provided that every con...
AbstractWe look for internal necessary and sufficient conditions for a subset F of the algebra of al...
ABSTRACT. In this paper we define a topological space X to be 0-regular if every filterbase in X wit...
This chapter discusses what completely regular space (X) can be characterized by the fact that some,...
AbstractThe classical theorem of Zareckiı̆ about regular relations is slightly extended and an intri...
This article gives examples of a regular space where each continuous function is constan
[EN] We characterize the existence of a real continuous order-preserving function on a topological p...
AbstractFor a continuous poset P, let ω(P) and λ(P) be the lower topology and the Lawson topology on...
In this paper we define a topological space X to be θ-regular if every filterbase in X with a nonemp...
AbstractAn extension of the Tychonoff theorem is obtained in characterizing a compact space by the n...
AbstractGiven topological spaces X,Y, there is a unique topology T+ on X×Y such that, for all topolo...
A subset A of X is bounded if every continuous real-valued function on X is bounded on A. A comple...
L will denote a completely distributive lattice with an order reversing involution. The concept of a...
AbstractWe say that a pair of topological spaces (X,Y) is good if for every A⫅X and every continuous...
AbstractWe solve the long standing problem of characterizing those Tychonov spaces X for which the f...
AbstractGiven a space Y, let us say that a space X is a total extender for Y provided that every con...
AbstractWe look for internal necessary and sufficient conditions for a subset F of the algebra of al...
ABSTRACT. In this paper we define a topological space X to be 0-regular if every filterbase in X wit...
This chapter discusses what completely regular space (X) can be characterized by the fact that some,...
AbstractThe classical theorem of Zareckiı̆ about regular relations is slightly extended and an intri...
This article gives examples of a regular space where each continuous function is constan
[EN] We characterize the existence of a real continuous order-preserving function on a topological p...
AbstractFor a continuous poset P, let ω(P) and λ(P) be the lower topology and the Lawson topology on...
In this paper we define a topological space X to be θ-regular if every filterbase in X with a nonemp...
AbstractAn extension of the Tychonoff theorem is obtained in characterizing a compact space by the n...
AbstractGiven topological spaces X,Y, there is a unique topology T+ on X×Y such that, for all topolo...
A subset A of X is bounded if every continuous real-valued function on X is bounded on A. A comple...
L will denote a completely distributive lattice with an order reversing involution. The concept of a...
AbstractWe say that a pair of topological spaces (X,Y) is good if for every A⫅X and every continuous...
AbstractWe solve the long standing problem of characterizing those Tychonov spaces X for which the f...
AbstractGiven a space Y, let us say that a space X is a total extender for Y provided that every con...
AbstractWe look for internal necessary and sufficient conditions for a subset F of the algebra of al...
ABSTRACT. In this paper we define a topological space X to be 0-regular if every filterbase in X wit...