Bounding, splitting, almost disjointness and covering of the meager ideal
Speaker:
Damjan Kalajdzievski
Date and Time:
Friday, September 14, 2018 - 1:30pm to 3:00pm
Location:
Fields Institute, Room 230
Abstract:
This talk is on joint work with Osvaldo Guzman. This talk will go over forcing omega1=mathfrakb=cov(mathcalM)<mathfraks=omega2 with a countable support iteration of proper forcings. In doing so we will introduce the forcings mathbbPT(mathcalF), which are Miller trees that satisfy a restriction on splitting nodes relative to the filter mathcal(F), and discuss their properties when mathcalF is Canjar. The result is achieved by iterating the forcing mathbbFsigma∗mathbbPT(mathcalF), where mathbbFsigma is the forcing of Fsigma filters on omega ordered by reverse inclusion.