arXiv:1004.2083 Abstract | arXiv Analytics

arXiv:1004.2083 [math.GN]Abstract References Reviews Resources

The character spectrum of beta(N)

Published 2010-04-13, updated 2011-07-22Version 3

We show the consistency of: the set of regular cardinals which are the character of some ultrafilter on omega can be quite chaotic, in particular not only can be not convex but can have many gaps. We also deal with the set of pi-characters of ultrafilters on omega.

Categories: math.GN, math.LO

Keywords: character spectrum, quite chaotic, regular cardinals, ultrafilter

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