The character spectrum of β(N)

Saharon Shelah

doi:10.1016/j.topol.2011.08.014

The character spectrum of β(N)

Saharon Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

We show the consistency of: the set of regular cardinals which are the character of some ultrafilter on N can be quite chaotic, in particular can have many gaps.

Original language	English
Pages (from-to)	2535-2555
Number of pages	21
Journal	Topology and its Applications
Volume	158
Issue number	18
DOIs	https://doi.org/10.1016/j.topol.2011.08.014
State	Published - 1 Dec 2011

Keywords

Cardinal invariants
Character
Forcing
Set theory
Ultrafilters

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10.1016/j.topol.2011.08.014

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The character spectrum of β(N)

Abstract

Keywords

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