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Extension Dimension and Refinable Maps |
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| Authors: | A Chigogidze V Valov |
| Institution: | (1) Department of Mathematics and Statistics, University of Saskatchewan, McLean Hall, 106 Wiggins Road, Saskatoon, SK, Canada, S7N 5E6;(2) Department of Mathematics, University of Swaziland, Pr. Bag 4, Kwaluseni, Swaziland |
| Abstract: | 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 also shown that refinable maps preserve some infinite-dimensional properties. |
| Keywords: | extension dimension refinable maps CW-complex weakly infinite-dimensional spaces |
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