Geodesic
On a Topology Generated by Measurable Covers
Canadian mathematical bulletin, Tome 14 (1971) no. 4, pp. 499-502

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

In [2] we showed how, for a certain class of outer measures on a metric space, a measurable cover could be constructed for each subset A of the space. The function is a closure operator, and in this note some of the properties of the resulting topology are investigated. In particular, we obtain a sufficient condition for the space to be connected. 
Eames, W. On a Topology Generated by Measurable Covers. Canadian mathematical bulletin, Tome 14 (1971) no. 4, pp. 499-502. doi: 10.4153/CMB-1971-089-3
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[3] 3. Eames, W. and May, L. E., Measurable cover functions, Canad. Math. Bull. 10 (1967), 519-523. Google Scholar

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[5] 5. Martin, N. F. G., A topology for certain measure spaces, Trans. Amer. Math. Soc. 112 (1964), 1-18. Google Scholar

[6] 6. Troyer, R. S. and Ziemer, W. P., Topologies generated by outer measures, J. Math. Mech. 12 (1963), 485-494. Google Scholar

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