Citation
A. Blass et al., Note on extensions of asymptotic density, P AM MATH S, 129(11), 2001, pp. 3313-3320
Citations number
9
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939
→ ACNP
Volume
129
Issue
11
Year of publication
2001
Pages
3313 - 3320
Database
ISI
SICI code
0002-9939(2001)129:11<3313:NOEOAD>2.0.ZU;2-I
Abstract
By a density we mean any extension of the asymptotic density to a finitely
additive measure defined on all sets of natural numbers. We consider densit
ies associated to ultrafilters on omega and investigate two additivity prop
erties of such densities. In particular, we show that there is a density nu
for which L-1(nu) is complete.