An Infinite self dual Ramsey theorem
Logic
2017-01-27 v7
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}.
Cite
@article{arxiv.1310.3599,
title = {An Infinite self dual Ramsey theorem},
author = {Dimitris Vlitas},
journal= {arXiv preprint arXiv:1310.3599},
year = {2017}
}