Mohammad Golshani

collaborators

3 papers

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…

math.GR2026

Failure of singular compactness for Hom

Mohsen Asgharzadeh, Mohammad Golshani, Saharon Shelah

Assuming GÃ¶del's axiom of constructibility $V = L$ , we construct a $I ¨ $ -free abelian group $G$ of singular cardinality for some suitable cardinal $I ¨ $ which is regular and uncountab…

Cohen Forcing with Fraïssé Classes Beyond ℵ1​

Martin's axiom and ω12​⟶(ω12​,3)2

Failure of singular compactness for Hom

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

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