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.
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
@article{10_4153_CMB_1987_007_9,
author = {Tsuda, K\^oichi},
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/}
}
TY - JOUR AU - Tsuda, Kôichi TI - Rectangularity Versus Piecewise Rectangularity of Product Spaces JO - Canadian mathematical bulletin PY - 1987 SP - 49 EP - 56 VL - 30 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-007-9/ DO - 10.4153/CMB-1987-007-9 ID - 10_4153_CMB_1987_007_9 ER -
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