Fields institute,Room 210
Speaker: David Chodounsky
Title: Gaps and Towers in $P(\omega)/fin$
Abstract: We study the structure of $\subset$ relation on towers ($\subset^*$-chains) and gaps in $P(\omega)/fin$. We define Suslin towers and Hausdorff towers and discuss their existence in various models of set theory. Then some of the results and methods are used to provide examples of indestructible gaps not equivalent to a Hausdorff gap.