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Rectangularity Versus Piecewise Rectangularity of Product Spaces

Published online by Cambridge University Press:  20 November 2018

Kôichi Tsuda
Kôichi Tsuda*
Affiliation:
Department of Mathematics, Ehime University, Matsuyama 790, Japan
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Abstract

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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.

Keywords

54D2054F45Covering dimensionnormalitypiecewise rectangularityproduct spacestrongly 0-dimensionalityrectangularity
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 30 , Issue 1 , 01 March 1987 , pp. 49 - 56
Copyright
Copyright © Canadian Mathematical Society 01

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