2 results
A strong polarized relation
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- Journal:
- The Journal of Symbolic Logic / Volume 77 / Issue 3 / September 2012
- Published online by Cambridge University Press:
- 12 March 2014, pp. 766-776
- Print publication:
- September 2012
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- Article
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We prove that the strong polarized relation
is consistent with ZFC, for a singular μ which is a limit of measurable cardinals.
is consistent with ZFC, for a singular The Erdős–Rado Arrow for Singular Cardinals
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- Journal:
- Canadian Mathematical Bulletin / Volume 52 / Issue 1 / 01 March 2009
- Published online by Cambridge University Press:
- 20 November 2018, pp. 127-131
- Print publication:
- 01 March 2009
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- Article
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We prove in
$\text{ZFC}$ that if
$\text{cf}\left( \text{ }\lambda \text{ } \right)>{{\aleph }_{0}}$ and 
${{2}^{\text{cf}\left( \text{ }\!\!\lambda\!\!\text{ } \right)}}\,<\,\text{ }\!\!\lambda\!\!\text{ }$, then 
$\text{ }\!\!\lambda\!\!\text{ }\,\to \,{{\left( \text{ }\!\!\lambda\!\!\text{ ,}\,\omega \,\text{+}\,\text{1} \right)}^{2}}$.
