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Certain Values of Completeness and Saturatedness of a Uniform Ideal Rule out Certain Sizes of The Underlying Index Set

Published online by Cambridge University Press:  20 November 2018

Frantisek Franek
Frantisek Franek*
Affiliation:
Department of Mathematics, University of Toronto, Toronto, Ontario, Canadam5S 1A1 Department of Mathematics and Computer Science, Dartmouth College, Hanover, New Hampshire, USA03755
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Abstract

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Using the method of non-well-founded generic ultra-powers, we shall prove a generalization of a theorem of Taylor that certain values of completeness and saturatedness of a uniform ideal rule out certain sizes of the underlying index set.

Keywords

04A2003C9003E40
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 28 , Issue 4 , 01 December 1985 , pp. 501 - 504
Copyright
Copyright © Canadian Mathematical Society 1985

References

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