Cuchillo Ibáñez, EduardoDydak, J.Koyama, A.Alonso Morón, Manuel2023-06-202023-06-202008-10-10Cuchillo Ibáñez, E., Dydak, J., Koyama, A. Alonso Morón, M. «$C_{0}$-Coarse Geometry of Complements of Z-Sets in the Hilbert Cube». Transactions of the American Mathematical Society, vol. 360, n.o 10, mayo de 2008, pp. 5229-46. DOI.org (Crossref), https://doi.org/10.1090/S0002-9947-08-04603-5.0002-994710.1090/S0002-9947-08-04603-5https://hdl.handle.net/20.500.14352/49914Motivated 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.engjournal articlehttps//doi.org/10.1090/S0002-9947-08-04603-5http://www.ams.org/publications/journals/journalsframework/tranrestricted access512.71515.171C0 coarse geometryCovering dimensionAsymptotic dimensionC0 coarse structureANR-spaceC0 coarse morphismUniformly continuous mapCompact Z-setHigson-Roe compactification and coronaTopología1210 Topología