THE MINIMAL NORMAL MU-COMPLETE FILTER ON P-KAPPA-LAMBDA

Authors
Citation
M. Shioya, THE MINIMAL NORMAL MU-COMPLETE FILTER ON P-KAPPA-LAMBDA, Proceedings of the American Mathematical Society, 123(5), 1995, pp. 1565-1572
Citations number
10
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
00029939
Volume
123
Issue
5
Year of publication
1995
Pages
1565 - 1572
Database
ISI
SICI code
0002-9939(1995)123:5<1565:TMNMFO>2.0.ZU;2-P
Abstract
We introduce the closed (resp. strongly closed) mu-unbounded filter CF kappa lambdamu (resp. SCFkappa lambdamu) for a regular cardinal mu les s than or equal to kappa, which is a mu-complete analog of the closed (resp. strongly closed) unbounded filter on P(kappa)lambda. We give th eir simple characterizations for the case mu = omega(1). We also study generators of CFkappa lambdanu (resp. SCFkappa lambdanu) over CFkappa lambdamu (resp. SCFkappa lambdamu) for the case omega < mu < nu v.