Bob A. Dumas

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math.LO2017

Discontinuous Homomorphisms of $C (X)$ with $2^{ℵ_{0}} > ℵ_{2}$

Bob A. Dumas

Assume that $M$ is a c.t.m. of $Z F C + C H$ containing a simplified $(ω_{1}, 2)$ -morass, $P \in M$ is the poset adding $ℵ_{3}$ generic reals and $G$ is $P$ -generic over $M$ . In $M$ we c…

math.LO2017

Order-isomorphic Morass-definable $η_{1}$ -orderings

Bob A Dumas

We prove that in the Cohen extension adding $ℵ_{3}$ generic reals to a model of $Z F C + C H$ containing a simplified $(ω_{1}, 2)$ -morass, gap-2 morass-definable $η_{1}$ -orderings with ca…

Discontinuous Homomorphisms of C(X) with 2ℵ0​>ℵ2​

Order-isomorphic Morass-definable η1​-orderings

Discontinuous Homomorphisms of $C (X)$ with $2^{ℵ_{0}} > ℵ_{2}$

Order-isomorphic Morass-definable $η_{1}$ -orderings