arXiv Analytics

Sign in

arXiv:1001.0194 [math.LO]AbstractReferencesReviewsResources

A coloring theorem for succesors of singular cardinal

Todd Eisworth

Published 2009-12-31Version 1

We formulate and prove (in {\sf ZFC}) a strong coloring theorem which holds at successors of singular cardinals, and use it to answer several questions concerning Shelah's principle $Pr_1(\mu^+,\mu^+,\mu^+,\cf(\mu))$ for singular $\mu$.

Comments: Initial version
Categories: math.LO
Subjects: 03E02
Related articles: Most relevant | Search more
arXiv:1908.04477 [math.LO] (Published 2019-08-13)
Polarized relations at singulars over successors
arXiv:1907.11765 [math.LO] (Published 2019-07-26)
Ultrafilters on singular cardinals of uncountable cofinality
arXiv:1201.1713 [math.LO] (Published 2012-01-09, updated 2012-05-31)
The ultrafilter number for singular cardinals

Links

Toolbox