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The ultrafilter number for singular cardinals

Logic 2012-11-09 v2
Authors: Shimon Garti , Saharon Shelah
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Abstract

We prove the consistency of a singular cardinal λ\lambda with small value of the ultrafilter number uλu_\lambda, and arbitrarily large value of 2λ2^\lambda.

Keywords

singular cardinal ultrafilter number consistency set theory continuum function

Cite

@article{arxiv.1201.1713,
  title  = {The ultrafilter number for singular cardinals},
  author = {Shimon Garti and Saharon Shelah},
  journal= {arXiv preprint arXiv:1201.1713},
  year   = {2012}
}

Comments

8 pages

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