Rectangularity Versus Piecewise Rectangularity of Product Spaces
Canadian mathematical bulletin, Tome 30 (1987) no. 1, pp. 49-56

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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.
DOI : 10.4153/CMB-1987-007-9
Mots-clés : 54D20, 54F45, Covering dimension, normality, piecewise rectangularity, product space, strongly 0-dimensionality, rectangularity
Tsuda, Kôichi. Rectangularity Versus Piecewise Rectangularity of Product Spaces. Canadian mathematical bulletin, Tome 30 (1987) no. 1, pp. 49-56. doi: 10.4153/CMB-1987-007-9
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     title = {Rectangularity {Versus} {Piecewise} {Rectangularity} of {Product} {Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {49--56},
     year = {1987},
     volume = {30},
     number = {1},
     doi = {10.4153/CMB-1987-007-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-007-9/}
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