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arxiv: math/0307086 · v1 · submitted 2003-07-08 · 🧮 math.GN · math.LO

Elementarity and dimensions

classification 🧮 math.GN math.LO
keywords alternativecasecompactdimensionselementarityfedorchukgivehausdorff
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We give an alternative proof of Fedorchuk's recent result that dim X <= Dg X for compact Hausdorff spaces X. We use the L\"{o}wenheim-Skolem theorem to reduce the problem to the metric case.

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