Add to ORKGAbstract. Motivated by the Chapman Complement Theorem, we construct an isomorphism between the topological category of compact Z-sets in the Hilbert cube Q and the C0-coarse category of their complements. The C0-coarse morphisms are, in this particular case, intrinsically related to uniformly continuous proper maps. Using that fact we are able to relate in a natu-ral way some of the topological invariants of Z-sets to the geometry of their complements. 1
AbstractFor a compact polyhedron, P, the category, cat(P), of P in the sense of Lusternik and Schnir...
In this paper two exact sequences are established which are useful in computing π o ^(M), the group ...
The central idea of coarse geometry is to focus on the properties of metric spaces which survive und...
AbstractWe study properties of those σZ-sets in the Hilbert cube whose complements are homeomorphic ...
Since the appearance of the well known complement theorem of Chapman [C] for compacta in the Hilbert...
AbstractThe concept of an hereditary shape equivalence quite naturally induces various related notio...
AbstractIt is shown that the class of Hilbert cube factors is closed under the operation of taking m...
AbstractIn this paper we give the hard technical details for the author's recent proof that any cell...
Abstract. By Cld∗F (X), we denote the space of all closed sets in a space X (including the empty set...
AbstractThe C0 coarse structure on a metric space is a refinement of the bounded structure and is cl...
AbstractWe make the following remarks. Every boundary set in the Hilbert cube can be reimbedded as a...
Graduation date: 2008Cellular sets in the Hilbert cube are the intersection of nested sequences of n...
The C0 coarse structure on a metric space is a refinement of the bounded structure and is closely re...
AbstractBy Cld∗F(X), we denote the space of all closed sets in a space X (including the empty set ∅)...
AbstractIn this paper we prove that for every cardinal κ, the space Cp(Dκ) admits a continuous bijec...
AbstractFor a compact polyhedron, P, the category, cat(P), of P in the sense of Lusternik and Schnir...
In this paper two exact sequences are established which are useful in computing π o ^(M), the group ...
The central idea of coarse geometry is to focus on the properties of metric spaces which survive und...
AbstractWe study properties of those σZ-sets in the Hilbert cube whose complements are homeomorphic ...
Since the appearance of the well known complement theorem of Chapman [C] for compacta in the Hilbert...
AbstractThe concept of an hereditary shape equivalence quite naturally induces various related notio...
AbstractIt is shown that the class of Hilbert cube factors is closed under the operation of taking m...
AbstractIn this paper we give the hard technical details for the author's recent proof that any cell...
Abstract. By Cld∗F (X), we denote the space of all closed sets in a space X (including the empty set...
AbstractThe C0 coarse structure on a metric space is a refinement of the bounded structure and is cl...
AbstractWe make the following remarks. Every boundary set in the Hilbert cube can be reimbedded as a...
Graduation date: 2008Cellular sets in the Hilbert cube are the intersection of nested sequences of n...
The C0 coarse structure on a metric space is a refinement of the bounded structure and is closely re...
AbstractBy Cld∗F(X), we denote the space of all closed sets in a space X (including the empty set ∅)...
AbstractIn this paper we prove that for every cardinal κ, the space Cp(Dκ) admits a continuous bijec...
AbstractFor a compact polyhedron, P, the category, cat(P), of P in the sense of Lusternik and Schnir...
In this paper two exact sequences are established which are useful in computing π o ^(M), the group ...
The central idea of coarse geometry is to focus on the properties of metric spaces which survive und...