2013/06/24 by Jesús P. Moreno-Damas, Moreno-Damas, Jesús P.
Mathematics · #FOS: Mathematics #General Topology (math.GN) #math.GN
paper · pdf · doi:10.48550/arxiv.1306.5572
30 pages, 6 figures
arxiv created 2013/06/24 · arxiv updated 2013/06/25
Given a nowheredense closed subset X of a metrizable compact space \tx, we characterize the dimension of X in terms of the multiplicity of the canonicals covers of the complementary of X, specially in some particular cases, like when \tx is the Hilbert cube or the finite dimensional cube and X, a Z-set of \tx. In this process, we solve some questions in the literature.