On the strongly countable-dimensionality of μ-spaces
Glasgow mathematical journal, Tome 25 (1984) no. 1, pp. 13-18

Voir la notice de l'article provenant de la source Cambridge University Press

Nagata in [3] defined strongly countable-dimensional spaces which are the countable union of closed finite-dimensional subspaces. Walker and Wenner in [7] characterized such metric spaces as follows: a space X is a strongly countable-dimensional metric space if and only if there exists a finite-to-one closed mapping of a zero-dimensional metric space onto X with weak local order.
Mizokami, T. On the strongly countable-dimensionality of μ-spaces. Glasgow mathematical journal, Tome 25 (1984) no. 1, pp. 13-18. doi: 10.1017/S0017089500005358
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[7] 7.Walker, J. W. and Wenner, B. R., Characterization of certain classes of infinite dimensional metric spaces, Top. Appl. 12 (1981), 101–104. Google Scholar

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