Geodesic
Four-Dimension Equivalences
Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 48-50

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

The object of this paper is to establish the equivalence of four functionrelated dimension concepts in arbitrary topological spaces. These concepts involve stability of functions (3, p. 74), the modification of covering dimension involving basic covers (1, p. 243) (which is equivalent to Yu. M. Smirnov's definition using normal covers), the definition involving essential mappings (2, p. 496), and a modification of the closed set separation characterization of dimension in (3, p. 35). 
Gard, J. R.; Johnson, R. D. Four-Dimension Equivalences. Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 48-50. doi: 10.4153/CJM-1968-006-7
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[1] 1. Gillman, L. and Jerison, M., Rings of continuous functions (Princeton, 1960).10.1007/978-1-4615-7819-2 Google Scholar | DOI

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[4] 4. Smirnov, Yu. M., On the dimension of proximity spaces, Mat. Sb., 38 (80) (1956), 283-302, Amer. Math. Soc. Transi. (2), 21 (1962), 1–20. Google Scholar

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