Cuchillo Ibáñez, EduardoMorón, Manuel A.2023-06-202023-06-202008-10M. Alonso-Morón and A. González Gómez, The Hausdorff metric and classifications of compacta, Bull. London Math. Soc. 38 (2006), 314–322. MR2215924 (2006m:54019) S. Antonyan, A short proof that hyperspaces of Peano continua are absolute retracts, Proc. Amer. Math. Soc. 129 (2001), 2187–2189. MR1825932 (2002c:54004) T.A. Chapman, Lectures on Hilbert Cube Manifolds, Amer. Math. Soc., Providence, RI, 1976. MR0423357 (54:11336) E. Cuchillo-Ibáñez, J. Dydak, A. Koyama and M.A. Morón, C0-coarse geometry of complements of Z-sets in the Hilbert cube, Transactions A.M.S. (to appear). J. Dugundji, An extension of Tietze’s theorem, Pacific Journ. Math. 1 (1951), 353–367. MR0044116 (13:373c) R. Engelking, Theory of Dimensions Finite and Infinite, Heldermann Verlag, Lemgo, 1995. MR1363947 (97j:54033) S.-T. Hu, Theory of retracts, Wayne State University Press, Detroit, MI, 1965. MR0181977 (31:6202) W. Hurewicz and H. Wallman, Dimension Theory, Princeton University Press, Princeton, NJ, 1941. MR0006493 (3:312b) N. Kroonenberg, Characterization of finite-dimensional Z-sets, Proc. Amer. Math. Soc. 43 (1974), 421–427. MR0334221 (48:12540) J. Roe, Lectures on Coarse Geometry, American Mathematical Society, Providence, RI, 2003. MR2007488 (2004g:53050) N. Wright, C0 coarse geometry and scalar curvature, J. Funct. Anal. 197 (2003), 469–488. MR1960422 (2003m:58034) N. Wright, The coarse Baum-Connes conjecture via C0 coarse geometry, J. Funct. Anal. 220 (2005), 265–303. MR2119281 (2006d:58023)0002-993910.1090/S0002-9939-08-09413-6https://hdl.handle.net/20.500.14352/49921In this paper we characterize the finite dimensionality of a compact Z-set in the Hilbert cube in terms of the existence of a particular canonical cover in its complement.engjournal articlehttp://www.ams.org/journals/proc/http://www.ams.orgrestricted access515.171C0-coarse geometrycompact Z-setcanonical covernerve of a covercovering dimensionTopología1210 Topología