On the indecomposability of $ω^n$

Details On the indecomposability of $ω^n$ On the indecomposability of $ω^n$

2011-11-06

arxiv.org/abs/1111.1367v1

Mathematics

Logic

Scientific paper

We study the reverse mathematics of pigeonhole principles for finite powers
of the ordinal $\omega$. Four natural formulations are presented and their
relative strengths are compared. In the analysis of the pigeonhole principle
for $\omega^2$, we uncover two weak variants of Ramsey's Theorem for pairs.

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