Acta Mathematica Hungarica
Volume/Issue:
Volume 137: Issue 4
The ultrafilter number for singular cardinals
Authors: Shimon Garti 1 and Saharon Shelah 1 , 2
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  • 1 Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem 91904, Israel
  • 2 Department of Mathematics, Rutgers University, New Brunswick NJ 08854, USA
DOI:
https://doi.org/10.1007/s10474-012-0245-0
Page Count:
296–301
Publication Date:
01 Dec 2012
Online Publication Date:
21 Jun 2012
Article Category:
Research Article
Restricted access

Abstract

We prove the consistency of a singular cardinal λ with small value of the ultrafilter number , and arbitrarily large value of 2λ.

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  • [7] Shelah, S. 2011 The character spectrum of β(ℕ) Topology Appl. 158 2535–2555 .
Cover Acta Mathematica Hungarica
Acta Mathematica Hungarica
Print ISSN:
0236-5294
Online ISSN:
1588-2632
Keywords:
ultrafilter number; pcf theory; large cardinal; 03E05; 03E55