RT Journal Article
T1 C0-coarse geometry of complements of Z-sets in the Hilbert cube
A1 Cuchillo Ibáñez, Eduardo
A1 Dydak, J.
A1 Koyama, A.
A1 Alonso Morón, Manuel
AB 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.
PB American Mathematical Society
SN 0002-9947
YR 2008
FD 2008-10-10
LK https://hdl.handle.net/20.500.14352/49914
UL https://hdl.handle.net/20.500.14352/49914
LA eng
NO Cuchillo 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.
NO MEC
DS Docta Complutense
RD 15 dic 2025