Local Ramsey theory: an abstract approach
University of Denver
This talk is about an abstract version of the notion of semi-selective co-ideal for subsets of a topological Ramsey space. This version is useful to characterize the corresponding generalization of the local Ramsey property in “topological terms”. We will also talk about forcing notions related to this abstract version of semi-selectivity, generalizing those related to Ellentuck’s space, and we will comment on some applications.
Goyo Mijares received his Ph.D. in 2007 from the Central University of Venezuela, and is now a postdoctoral scholar at the University of Denver. He studies set theory, Ramsey theory, topological dynamics, combinatorics, and functional analysis.