Fine asymptotic densities for sets of natural numbers

Di Nasso, Mauro

doi:10.1090/S0002-9939-10-10351-7

Fine asymptotic densities for sets of natural numbers
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by Mauro Di Nasso

Proc. Amer. Math. Soc. 138 (2010), 2657-2665

DOI: https://doi.org/10.1090/S0002-9939-10-10351-7

Published electronically: April 1, 2010

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Abstract:

By allowing values in non-Archimedean extensions of the unit interval, we consider finitely additive measures that generalize the asymptotic density. The existence of a natural class of such “fine densities” is independent of ZFC.

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