An abstract approach in canonizing topological Ramsey spaces

Abstract

In \cite{To} S. Todorcevic introduced the notion of a topological Ramsey space and a list of axioms required to be satisfied by any such a space. Here we show that any topological Ramsey space that satisfies a strengthened version of one of the required axioms and a very natural assumption, admits canonization theorem.

arXiv commentarXiv admin note: text overlap with arXiv:1701.07565