2014 seminar talk: Order-sequential compactness

Talk held by Jan Starý (Czech Technical Univeristy in Prague) at the KGRC seminar on 2014-11-20.


A Boolean algebra which is compact in its order-sequential topology needs to be ccc, must not add an independent real as a forcing (hence must not embedd the Cantor algebra), and the only Hausdorff case is the powerset of omega. We look for examples of such algebras (non-Hausdorff, hence non-Maharam) and the corresponding forcing restrictions.

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Kurt Gödel Research Center for Mathematical Logic. Währinger Straße 25, 1090 Wien, Austria. Phone +43-1-4277-50501. Last updated: 2010-12-16, 04:37.