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1 results

On a result of Szemerédi
Albin L. Jones
Journal:

The Journal of Symbolic Logic / Volume 73 / Issue 3 / September 2008

Published online by Cambridge University Press:

12 March 2014, pp. 953-956

Print publication:

September 2008
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We provide a short proof that if κ is a regular cardinal with κ < c, then
for any ordinal α < min{, κ}. In particular,
for any ordinal α < . This generalizes an unpublished result of E. Szemerédi that Martin's axiom implies that
for any cardinal κ with κ < c.