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math.LO2020
The ultrafilter and almost disjointness numbers
Osvaldo Guzman, Damjan Kalajdzievski
We prove that every MAD family can be destroyed by a proper forcing that preserves -points. With this result, we prove that it is consistent that $ω_{1}=\mathfrak{u}<\mathfrak{a…
math.LO2017
Forcing and Construction Schemes
Damjan Kalajdzievski, Fulgencio Lopez
We investigate forcing and independence questions relating to construction schemes. We show that adding Cohen reals adds a capturing construction scheme. We study the we…