Recent and upcoming talks by Fulgencio Lopez

Fulgencio Lopez: A result of Dzamonja with construction schemes

Place: Fields Institute (Room 210) Date: May 5, 2017 (14:20-15:00) Speaker: Fulgencio Lopez, University of Toronto Title: A result of Dzamonja with construction schemes Abstract: We present a proof with construction schemes of the following result of Mirna Dzamonja: Forcing a Cohen real adds a Banach space of density $\omega_1$ which does not isomorphically embed in any ground model Banach space of density $\omega_1$. continue reading…

Fulgencio Lopez: Banach spaces from Construction Schemes

Place: Fields Institute (Room 210) Date: May 27th, 2016 (13:30-15:00) Speaker: Fulgencio Lopez Title: Banach spaces from Construction Schemes Abstract: In 2011 J. Lopez-Abad and S. Todorcevic used forcing to construct a Banach space with an $\varepsilon$-biorthogonal system that didn’t have $\delta$-biorthogonal systems for every $1\leq\delta<\varepsilon$. continue reading…

Fulgencio Lopez: Trees and Gaps from construction schemes

Place: Fields Institute (Room 210) Date: February 12 , 2016 (13:30-15:00) Speaker: Fulgencio Lopez Title: Trees and Gaps from construction schemes Abstract: Using a quite general Construction Scheme we construct a Suslin tree and a T-gap (a stronger notion than destructible gap). continue reading…