An Infinite self dual Ramsey theorem

Dimitris Vlitas

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arXiv · 1310.3599

An Infinite self dual Ramsey theorem

Dimitris Vlitas

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Abstract

In a recent paper \cite{So} S. Solecki proves a finite self dual Ramsey theorem that in a natural way gives simultaneously the classical finite Ramsey theorem \cite{Ra} and the Graham-Rothschild theorem \cite{Gr-Ro}. In this paper we prove the corresponding infinite dimensional self dual theorem, giving similarly as a consequence the infinite classical Ramsey theorem \cite{Ra} and the Carlson-Simpson theorem \cite{Ca-Si}.

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Dimitris Vlitas. 2013-10-14. An Infinite self dual Ramsey theorem. https://arxiv.org/abs/1310.3599

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