AbstractThe title refers to Cautyʼs example (Cauty, 1994 [3]) of a metric vector space which is not an absolute retract. It is shown that Cautyʼs space can be refined to the effect that the completion of the refined space can be isomorphically embedded as a subspace of an F-space which itself is an absolute retract
ABSTRACT. Let X be a Hausdorff topological space. Denote by PX (respectively, EX) the "Hausdorf...
XFor X a metric continuum, let 2 be the hyperspace of all nonempty subcompacta, with the Hausdorff m...
AbstractWe present an example of a metrizable space having the separable extension property but whic...
AbstractIn this article we give a sufficient condition for a space X to have the fully closed absolu...
ABSTRACT. The main result is an extension theorem (Theorem 1.4) which says that every continuous map...
AbstractWe characterize complete metric absolute (neighborhood) retracts in terms of existence of ce...
Abstract. We characterize metric spaces X whose hyperspaces 2X or Bd(X) of non-empty closed (bounded...
AbstractA completely regular Hausdorff space X is called retractive if there is a retraction from βX...
AbstractThis paper explores conditions under which a retract E of a space X must be a perfect (respe...
The primary objective of this paper is to consider a metric space (X,d) that is not complete and ana...
AbstractLet X be a finite-dimensional compactum. Let R(X) and N(X) be the spaces of retractions and ...
[EN] We prove that the hyperspace of closed bounded sets with the Hausdor_ topology, over an almost ...
A restricted version of the Tietze Theorem is that a continuous mapping of a closed subspace of a me...
AbstractIn this paper we generalize the concept of absolute neighborhood retract by introducing the ...
AbstractWe characterize Lindelöf p-spaces which are absolute extensors for zero-dimensional perfectl...
ABSTRACT. Let X be a Hausdorff topological space. Denote by PX (respectively, EX) the "Hausdorf...
XFor X a metric continuum, let 2 be the hyperspace of all nonempty subcompacta, with the Hausdorff m...
AbstractWe present an example of a metrizable space having the separable extension property but whic...
AbstractIn this article we give a sufficient condition for a space X to have the fully closed absolu...
ABSTRACT. The main result is an extension theorem (Theorem 1.4) which says that every continuous map...
AbstractWe characterize complete metric absolute (neighborhood) retracts in terms of existence of ce...
Abstract. We characterize metric spaces X whose hyperspaces 2X or Bd(X) of non-empty closed (bounded...
AbstractA completely regular Hausdorff space X is called retractive if there is a retraction from βX...
AbstractThis paper explores conditions under which a retract E of a space X must be a perfect (respe...
The primary objective of this paper is to consider a metric space (X,d) that is not complete and ana...
AbstractLet X be a finite-dimensional compactum. Let R(X) and N(X) be the spaces of retractions and ...
[EN] We prove that the hyperspace of closed bounded sets with the Hausdor_ topology, over an almost ...
A restricted version of the Tietze Theorem is that a continuous mapping of a closed subspace of a me...
AbstractIn this paper we generalize the concept of absolute neighborhood retract by introducing the ...
AbstractWe characterize Lindelöf p-spaces which are absolute extensors for zero-dimensional perfectl...
ABSTRACT. Let X be a Hausdorff topological space. Denote by PX (respectively, EX) the "Hausdorf...
XFor X a metric continuum, let 2 be the hyperspace of all nonempty subcompacta, with the Hausdorff m...
AbstractWe present an example of a metrizable space having the separable extension property but whic...
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