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
AbstractThis paper explores spaces of splines satisfying boundary conditions using the long exact se...
If X is a space then L(X) denotes the subspace of C(X) consisting of all Peano (sub)continua. We pro...
Graduation date: 2008Cellular sets in the Hilbert cube are the intersection of nested sequences of n...
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...
AbstractBy Cld∗F(X), we denote the space of all closed sets in a space X (including the empty set ∅)...
Abstract. By Cld∗F (X), we denote the space of all closed sets in a space X (including the empty set...
Abstract. Motivated by the Chapman Complement Theorem, we construct an isomorphism between the topol...
AbstractIt is shown that for each closed subset X of codimension at least three in the Hilbert cube ...
AbstractA subspace G of the hyperspace 2X of a Peano continuum is called a growth hyperspace if G co...
AbstractLet X denote a connected, locally path-connected, σ-compact metric space. F(X) is the hypers...
AbstractSuppose X is a locally connected continuum without free arcs. It is known that the hyperspac...
AbstractIt is shown that the class of Hilbert cube factors is closed under the operation of taking m...
It is shown that each separable metric, not totally disconnected, topological space admits a superex...
AbstractLet X be a compact metric space with no isolated points. Then we may embed X as a subset of ...
AbstractThis paper explores spaces of splines satisfying boundary conditions using the long exact se...
If X is a space then L(X) denotes the subspace of C(X) consisting of all Peano (sub)continua. We pro...
Graduation date: 2008Cellular sets in the Hilbert cube are the intersection of nested sequences of n...
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...
AbstractBy Cld∗F(X), we denote the space of all closed sets in a space X (including the empty set ∅)...
Abstract. By Cld∗F (X), we denote the space of all closed sets in a space X (including the empty set...
Abstract. Motivated by the Chapman Complement Theorem, we construct an isomorphism between the topol...
AbstractIt is shown that for each closed subset X of codimension at least three in the Hilbert cube ...
AbstractA subspace G of the hyperspace 2X of a Peano continuum is called a growth hyperspace if G co...
AbstractLet X denote a connected, locally path-connected, σ-compact metric space. F(X) is the hypers...
AbstractSuppose X is a locally connected continuum without free arcs. It is known that the hyperspac...
AbstractIt is shown that the class of Hilbert cube factors is closed under the operation of taking m...
It is shown that each separable metric, not totally disconnected, topological space admits a superex...
AbstractLet X be a compact metric space with no isolated points. Then we may embed X as a subset of ...
AbstractThis paper explores spaces of splines satisfying boundary conditions using the long exact se...
If X is a space then L(X) denotes the subspace of C(X) consisting of all Peano (sub)continua. We pro...
Graduation date: 2008Cellular sets in the Hilbert cube are the intersection of nested sequences of n...
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