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Fine asymptotic densities for sets of natural numbers
Author(s):
Mauro
Di Nasso
Journal:
Proc. Amer. Math. Soc.
138
(2010),
2657-2665.
MSC (2010):
Primary 11B05, 03E05;
Secondary 11R21
Posted:
April 1, 2010
MathSciNet review:
2644882
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Additional information
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.
References:
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Additional Information:
Mauro
Di Nasso
Affiliation:
Dipartimento di Matematica, Università di Pisa, Pisa, Italy
Email:
dinasso@dm.unipi.it
DOI:
10.1090/S0002-9939-10-10351-7
PII:
S 0002-9939(10)10351-7
Keywords:
Asymptotic density,
ultrafilter,
non-Archimedean group
Received by editor(s):
August 21, 2009,
Received by editor(s) in revised form:
October 10, 2009
Posted:
April 1, 2010
Communicated by:
Julia Knight
Copyright of article:
Copyright
2010,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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