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math.LO2021★ 2 cited
Sequential and distributive forcings without choice
Asaf Karagila, Jonathan Schilhan
In the Zermelo--Fraenkel set theory with the Axiom of Choice a forcing notion is "-distributive" if and only if it is "-sequential". We show that without the Axiom of Choice…
math.LO2021★ 1 cited
Choiceless Chain Conditions
Asaf Karagila, Noah Schweber
Chain conditions are one of the major tools used in the theory of forcing. We say that a partial order has the countable chain condition if every antichain (in the sense of forcing…