Seminario Flotante - J. Cano - 05.05 - 4pm
Darío García
Julián Cano - Universidad Nacional de Colombia
Title: Topological games in Ramsey spaces
Abstract: Abstract Ramsey theory was originally proposed by Carlson and Simpson in 1990, and further developed by Todorcevic in 2010. Its purpose is to study a class of combinatorial topological spaces (called Ramsey topological spaces) that characterize and unify essential features appearing in those combinatorial frames where the Ramsey property is equivalent to Baire property, such as the Ellentuck space.
In this talk, we will present a general overview on the combinatorial structure of Ramsey topological spaces, analyzing their main features and studying some representative examples. Also, we will give a generalization of Kastanas' game in Ellentuck space, constructing topological games that characterize Baire property for a large family of Ramsey topological spaces.
This is joint work with Carlos Di Prisco.
[This talk will be given in spanish. Slides in english will be available]