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Nonexistence of maximal asymptotic union nonbases

✍ Scribed by George P. Grekos

Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
425 KB
Volume
33
Category
Article
ISSN
0012-365X

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✦ Synopsis

1% wus-ensemble 48 de l'ensemble S de toutes les parties finies dc N est une U-base asymptotiyue d'ordre h si chaque ClCment de S, B un nombre tini d'exceprions p&s, est l'union de h, pa; nkessairemcnt distincts, ilQments de $38. On dkmontre qu'une partie @ de 9 qui n'est pas une Ill-base asymptotique d'ordre h ne peut pas vkifier le critkre de maximalit ci-dessous: pour tout A appartenant & s'@, $3 U(A) soit U-base asymptotique d'ordre h.

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