2 Hurewicz Theorem for Extension Dimension


We prove a new selection theorem for multivalued mappings of C-space. Using this theorem we prove extension dimensional version of Hurewicz theorem for a closed mapping f : X → Y of k-space X onto para-compact C-space Y : if for finite CW-complex M we have e-dimY ≤ [M ] and for every point y ∈ Y and every compactum Z with e-dimZ ≤ [M ] we have e-dim(f −1 (y… (More)

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@inproceedings{Brodsky20022HT, title={2 Hurewicz Theorem for Extension Dimension}, author={Nancy Brodsky and A. CHIGOGIDZE}, year={2002} }