Extension dimension and refinable maps

Alex Chigogidze; Vesko Valov

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arXiv · math/9909134

Extension dimension and refinable maps

Alex Chigogidze·Vesko Valov

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Abstract

Extension dimension is characterized in terms of $ω$-maps. We apply this result to prove that extension dimension is preserved by refinable maps between metrizable spaces. It is also shown that refinable maps preserve some infinite-dimensional properties.

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Alex Chigogidze, Vesko Valov. 1999-09-22. Extension dimension and refinable maps. https://arxiv.org/abs/math/9909134

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