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The Urysohn-Menger sum formula: an extension of the Dydak-Walsh theorem to dimension one
Published online by Cambridge University Press: 09 April 2009
Abstract
Let X be a finite-dimensional separable metric space, presented as a disjoint union of subsets, X = A∪B. We prove the following theorem: For every prime p, c-dimZpX≦c-dimZpA + c–dimZpB + 1. This improves upon some of the earlier work by Dydak and Walsh.
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- Copyright © Australian Mathematical Society 1995
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