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arXiv · 1306.5572

Dugundji's Canonical Covers, asymptotic and covering dimension

Jesús P. Moreno-Damas
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Abstract

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.

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Jesús P. Moreno-Damas. 2013-06-24. Dugundji's Canonical Covers, asymptotic and covering dimension. https://arxiv.org/abs/1306.5572

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