AbstractWe study properties of those σZ-sets in the Hilbert cube whose complements are homeomorphic to Hilbert space. A characterization of such sets is obtained in terms of a proximate local connectedness property and a dense imbedding condition. Some examples and applications are given, including the formulation of a tower condition useful for recognizing (f-d) cap sets
AbstractWe characterize spaces admitting a homotopy dense embedding (= embedding with locally homoto...
AbstractSuppose X is a locally connected continuum without free arcs. It is known that the hyperspac...
summary:In this paper we prove the existence of a closed neat embedding of a Hausdorff paracompact H...
AbstractWe study properties of those σZ-sets in the Hilbert cube whose complements are homeomorphic ...
AbstractWe make the following remarks. Every boundary set in the Hilbert cube can be reimbedded as a...
AbstractLet X denote a connected, locally path-connected, σ-compact metric space. F(X) is the hypers...
AbstractA subspace G of the hyperspace 2X of a Peano continuum is called a growth hyperspace if G co...
Abstract. By Cld∗F (X), we denote the space of all closed sets in a space X (including the empty set...
AbstractLet X be a compact metric space with no isolated points. Then we may embed X as a subset of ...
AbstractBy Cld∗F(X), we denote the space of all closed sets in a space X (including the empty set ∅)...
AbstractIn this paper we give the hard technical details for the author's recent proof that any cell...
We give a topological characterization of the n-dimensional pseudoboundary of the (2n + 1)-dimension...
AbstractIt is shown that for each closed subset X of codimension at least three in the Hilbert cube ...
AbstractIt is shown that the class of Hilbert cube factors is closed under the operation of taking m...
AbstractSufficient conditions are given for the union of two Hilbert cube (manifolds) intersecting i...
AbstractWe characterize spaces admitting a homotopy dense embedding (= embedding with locally homoto...
AbstractSuppose X is a locally connected continuum without free arcs. It is known that the hyperspac...
summary:In this paper we prove the existence of a closed neat embedding of a Hausdorff paracompact H...
AbstractWe study properties of those σZ-sets in the Hilbert cube whose complements are homeomorphic ...
AbstractWe make the following remarks. Every boundary set in the Hilbert cube can be reimbedded as a...
AbstractLet X denote a connected, locally path-connected, σ-compact metric space. F(X) is the hypers...
AbstractA subspace G of the hyperspace 2X of a Peano continuum is called a growth hyperspace if G co...
Abstract. By Cld∗F (X), we denote the space of all closed sets in a space X (including the empty set...
AbstractLet X be a compact metric space with no isolated points. Then we may embed X as a subset of ...
AbstractBy Cld∗F(X), we denote the space of all closed sets in a space X (including the empty set ∅)...
AbstractIn this paper we give the hard technical details for the author's recent proof that any cell...
We give a topological characterization of the n-dimensional pseudoboundary of the (2n + 1)-dimension...
AbstractIt is shown that for each closed subset X of codimension at least three in the Hilbert cube ...
AbstractIt is shown that the class of Hilbert cube factors is closed under the operation of taking m...
AbstractSufficient conditions are given for the union of two Hilbert cube (manifolds) intersecting i...
AbstractWe characterize spaces admitting a homotopy dense embedding (= embedding with locally homoto...
AbstractSuppose X is a locally connected continuum without free arcs. It is known that the hyperspac...
summary:In this paper we prove the existence of a closed neat embedding of a Hausdorff paracompact H...
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