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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The minimal normal $\mu$-complete filter on $P_ \kappa \lambda$
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by Masahiro Shioya PDF
Proc. Amer. Math. Soc. 123 (1995), 1565-1572 Request permission

Abstract:

We introduce the closed (resp. strongly closed) $\mu$-unbounded filter $CF_{\kappa \lambda }^\mu$ (resp. $SCF_{\kappa \lambda }^\mu$) for a regular cardinal $\mu \leq \kappa$, which is a $\mu$-complete analog of the closed (resp. strongly closed) unbounded filter on ${P_\kappa }\lambda$. We give their simple characterizations for the case $\mu = {\omega _1}$. We also study generators of $CF_{\kappa \lambda }^\nu$ (resp. $SCF_{\kappa \lambda }^\nu$) over $CF_{\kappa \lambda }^\mu$ (resp. $SCF_{\kappa \lambda }^\mu$) for the case $\omega < \mu < \nu$.
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Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 1565-1572
  • MSC: Primary 04A20
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1234632-6
  • MathSciNet review: 1234632