Transactions of the American Mathematical Society

Author(s): Joni Baker; Kenneth Kunen
Journal: Trans. Amer. Math. Soc. 353 (2001), 4083-4093.
MSC (2000): Primary 54D80, 54D40
Posted: May 22, 2001
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Let $u(\kappa)$ be the space of uniform ultrafilters on $\kappa$ . If $\kappa$ is regular, then there is an $\mathbf x \in u(\kappa)$ which is not an accumulation point of any subset of $u(\kappa)$ of size $\kappa$ or less. $\mathbf x$ is also good, in the sense of Keisler.

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6.: K. Kunen, Weak P-points in ${\mathbb N}^{*}$ , Colloq. Math. Soc. János Bolyai 23 (1980) 741-749. MR 82a:54046
7.: W. Rudin, Homogeneity problems in the theory of Cech compactifications. Duke Math. J. 23 (1956) 409-419. MR 18:324d

Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 54D80, 54D40

Joni Baker
Affiliation: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 57306
Email: baker@math.wisc.edu

Kenneth Kunen
Affiliation: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 57306
Email: kunen@math.wisc.edu

DOI: 10.1090/S0002-9947-01-02843-4
PII: S 0002-9947(01)02843-4
Keywords: Weak $P$-point, good ultrafilter, mediocre point
Received by editor(s): September 18, 2000
Received by editor(s) in revised form: March 21, 2001
Posted: May 22, 2001
Additional Notes: Both authors' work was partly supported by NSF Grant DMS-9704520. They wish to thank the referee for a number of useful comments.
Copyright of article: Copyright 2001, American Mathematical Society

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