On a Topology Generated by Measurable Covers
Canadian mathematical bulletin, Tome 14 (1971) no. 4, pp. 499-502
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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
@article{10_4153_CMB_1971_089_3,
author = {Eames, W.},
title = {On a {Topology} {Generated} by {Measurable} {Covers}},
journal = {Canadian mathematical bulletin},
pages = {499--502},
year = {1971},
volume = {14},
number = {4},
doi = {10.4153/CMB-1971-089-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1971-089-3/}
}
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