%0 Journal Article
%A Cuchillo Ibáñez, Eduardo
%A Dydak, J.
%A Koyama, A.
%A Morón, Manuel A.
%T C0-coarse geometry of complements of Z-sets in the Hilbert cube
%D 2008
%@ 0002-9947
%U https://hdl.handle.net/20.500.14352/49914
%X 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 natural way some of the topological invariants of Z-sets to the geometry of their complements.
%~