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Rectangularity Versus Piecewise Rectangularity of Product Spaces
Published online by Cambridge University Press: 20 November 2018
Abstract
We shall discuss relations between rectangularity and piecewise rectangularity of product spaces. In particular, we show that for each positive integer n there exists an n-dimensional, collectionwise normal, non-piecewise rectangular product X × Y which satisfies the inequality dim (X × Y) ≤ dim X + dim Y.
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- Copyright © Canadian Mathematical Society 01