Mohammad Golshani

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math.LO2026

Cohen Forcing with Fraïssé Classes Beyond $ℵ_{1}$

Mohammad Golshani

Kostana [5] asked for natural conditions on a class $K$ to ensure that forcing with finite members of $K$ on an underlying set $X$ is forcing equivalent to Cohe…

math.LO2026

Martin's axiom and $ω_{1}^{2} ⟶ (ω_{1}^{2}, 3)^{2}$

Mohammad Golshani

Starting with CH and Hajnal's coloring, we show that a standard finite-support iteration of $σ$ -centered forcing notions gives a model of $M A_{ω_{1}} (σ$ -centered$)+2^{\aleph_0}=\ale…

Cohen Forcing with Fraïssé Classes Beyond ℵ1​

Martin's axiom and ω12​⟶(ω12​,3)2

Cohen Forcing with Fraïssé Classes Beyond $ℵ_{1}$

Martin's axiom and $ω_{1}^{2} ⟶ (ω_{1}^{2}, 3)^{2}$