English

Extension dimension and refinable maps

General Topology 2007-05-23 v1

Abstract

Extension dimension is characterized in terms of ω\omega-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.

Keywords

Cite

@article{arxiv.math/9909134,
  title  = {Extension dimension and refinable maps},
  author = {Alex Chigogidze and Vesko Valov},
  journal= {arXiv preprint arXiv:math/9909134},
  year   = {2007}
}

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12 pages