Recent and upcoming talks by Fulgencio Lopez

Fulgencio Lopez: A capturing construction scheme from the diamond

Seminar: Working group in applications of set theory, IMPAN Thursday, 15.11. 2018, 10:15, room 105, IMPAN Speaker: Fulgencio Lopez (IM PAN) Title: “A capturing construction scheme from the diamond principle” Continuation from 8.11.2018. continue reading…

Fulgencio Lopez: A capturing construction scheme from the diamond

Seminar: Working group in applications of set theory, IMPAN Thursday, 08.11. 2018, 10:15, room 105, IMPAN Speaker: Fulgencio Lopez (IM PAN) Title: “A capturing construction scheme from the diamond principle” Abstact: “S. continue reading…

Fulgencio Lopez: Adding Cohen reals also adds a capturing Construction Scheme

Place: Fields Institute (Room 210) Date: January 19, 2018 (13:30-15:00) Speaker: Fulgencio Lopez Title: Adding Cohen reals also adds a capturing Construction Scheme Abstract: We show that adding $\kappa\geq \omega_1$ Cohen reals adds a capturing construction scheme. continue reading…

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…