Add to ORKGIn this paper, we s~all prove that an Ml-space X can be imbedded in an Ml-space Z(X) as a closed subset in such a way that X is an AR(m) (resp. ANR(m if and only if Xl »l is a retract (resp. neighborhood retract) of Z(X), where m is the class of all Ml-spaces. Moreover, we shall provel that an Ml-space is an AE(m) (resp. ANE(m ff and onlyl »l if it is an AR(m) (resp. ANR(ml ».l 1
In 1961, J. Ceder [C] defined the Mi-spaces, i = 1,2,3, proved that M ~ M ~ M and asked whether any ...
XFor X a metric continuum, let 2 be the hyperspace of all nonempty subcompacta, with the Hausdorff m...
AbstractThis paper explores conditions under which a retract E of a space X must be a perfect (respe...
In this paper, we s~all prove that an Ml-space X can be imbedded in an Ml-space Z(X) as a closed sub...
AbstractWe characterize complete metric absolute (neighborhood) retracts in terms of existence of ce...
AbstractLet X be an M3-space. If every point of X has a closure preserving outer base, then X is an ...
A space X is Mal'tsev if there exists a continuous map M: X3 → X such that M(x, y, y) = x...
A space X is Mal'tsev if there exists a continuous map M: X3 → X such that M(x, y, y) = x ...
Abstract. We study retracts of coset spaces. We prove that in certain spaces the set of points that ...
AbstractA completely regular Hausdorff space X is called retractive if there is a retraction from βX...
ing generalization of absolute neighborhood retracts. Definition. A compact subset X of a metric spa...
AbstractWe show that every closed subset of an M1-space has a closure-preserving open neighborhood b...
Abstract. We characterize metric spaces X whose hyperspaces 2X or Bd(X) of non-empty closed (bounded...
S. Godlewski [Fundam. Math. 114, 1-9 (1981; Zbl 0498.54016)] proved that if a metrizable space X is ...
AbstractA space X is Mal'tsev if there exists a continuous map M : X3 → X such that M(x, y, y) = x =...
In 1961, J. Ceder [C] defined the Mi-spaces, i = 1,2,3, proved that M ~ M ~ M and asked whether any ...
XFor X a metric continuum, let 2 be the hyperspace of all nonempty subcompacta, with the Hausdorff m...
AbstractThis paper explores conditions under which a retract E of a space X must be a perfect (respe...
In this paper, we s~all prove that an Ml-space X can be imbedded in an Ml-space Z(X) as a closed sub...
AbstractWe characterize complete metric absolute (neighborhood) retracts in terms of existence of ce...
AbstractLet X be an M3-space. If every point of X has a closure preserving outer base, then X is an ...
A space X is Mal'tsev if there exists a continuous map M: X3 → X such that M(x, y, y) = x...
A space X is Mal'tsev if there exists a continuous map M: X3 → X such that M(x, y, y) = x ...
Abstract. We study retracts of coset spaces. We prove that in certain spaces the set of points that ...
AbstractA completely regular Hausdorff space X is called retractive if there is a retraction from βX...
ing generalization of absolute neighborhood retracts. Definition. A compact subset X of a metric spa...
AbstractWe show that every closed subset of an M1-space has a closure-preserving open neighborhood b...
Abstract. We characterize metric spaces X whose hyperspaces 2X or Bd(X) of non-empty closed (bounded...
S. Godlewski [Fundam. Math. 114, 1-9 (1981; Zbl 0498.54016)] proved that if a metrizable space X is ...
AbstractA space X is Mal'tsev if there exists a continuous map M : X3 → X such that M(x, y, y) = x =...
In 1961, J. Ceder [C] defined the Mi-spaces, i = 1,2,3, proved that M ~ M ~ M and asked whether any ...
XFor X a metric continuum, let 2 be the hyperspace of all nonempty subcompacta, with the Hausdorff m...
AbstractThis paper explores conditions under which a retract E of a space X must be a perfect (respe...