Filtros, ideales y juegos infinitos

Ponente(s): Jorge Armando Martínez Quintero, Dr. Salvador García Ferreira (CCM-UNAM)

In this talk, we will present some results on the study of infinite games defined by Laflamme in [1] and some variations of these, including characterizations of the winning strategies for the two players involved (see [1]), based on properties of ideals or properties of trees on $\omega^{<\omega}$. Finally, we will provide examples and discuss relationships between some of these games. References: 1. C. Laflamme and C. Leary. Filter games on $\omega$ and the dual ideal. Fundamenta Mathematicae. 2002, 173: 159-173. 2. A. W. Miller. Hechler and Laver Trees. arXiv. 2012, preprint arXiv:1204.5198.