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math.GN1999
Extension dimension and refinable maps
Alex Chigogidze, Vesko Valov
Extension dimension is characterized in terms of -maps. We apply this result to prove that extension dimension is preserved by refinable maps between metrizable spaces. It is al…
math.GN1999
Universal metric spaces and extension dimension
Alex Chigogidze, Vesko Valov
For any countable -complex and a cardinal number we construct a completely metrizable space of weight with the following properties: $\e X(K,τ)\leq K$…