David Chodounsky: Gaps and Towers in $P(\omega)/fin$

05/April/2013, 13:30–15:00
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.

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