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A relationship between packing and topological dimensions
Published online by Cambridge University Press: 26 February 2010
Abstract
The relationship between the topological dimension of a separable metric space and the Hausdorff dimensions of its homeomorphic images has been known for some time. In this note we consider topological and packing dimensions, and show that if X is a separable metric space, then
where and denote the topological and packing dimensions of X, respectively.
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- Research Article
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- Copyright © University College London 1998
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