On Strong Upper Densities
Canadian mathematical bulletin, Tome 12 (1969) no. 4, pp. 509-510
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Let ψ be the outer measure generated by a gauge g and a sequential covering class C of closed sets of a metric space X, and let D be the resulting strong upper density function. That is, for each A ⊆ X and each x ∈ X: the infimum being taken over all countable subcollections {Iα} of C such that and, for all Iα in the subcollection, d(Iα) < ε where d(Iα) is the diameter of d(Iα).
Eames, W. On Strong Upper Densities. Canadian mathematical bulletin, Tome 12 (1969) no. 4, pp. 509-510. doi: 10.4153/CMB-1969-066-8
@article{10_4153_CMB_1969_066_8,
author = {Eames, W.},
title = {On {Strong} {Upper} {Densities}},
journal = {Canadian mathematical bulletin},
pages = {509--510},
year = {1969},
volume = {12},
number = {4},
doi = {10.4153/CMB-1969-066-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-066-8/}
}
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