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user44891
user44891

Let $\kappa$ be an uncountable cardinal of a c.t.m $M$ of $ZFC$.

Is there a generic extension of $M$ like $M[G]$ such that all uncountable cardinals of ground model collapse except $\kappa$?

Let $\kappa$ be an uncountable cardinal of a c.t.m $M$ of $ZFC$.

Is there a generic extension of $M$ like $M[G]$ such that all cardinals of ground model collapse except $\kappa$?

Let $\kappa$ be an uncountable cardinal of a c.t.m $M$ of $ZFC$.

Is there a generic extension of $M$ like $M[G]$ such that all uncountable cardinals of ground model collapse except $\kappa$?

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user44891
user44891

How can I collapse all cardinals of ground model except one of them?

Let $\kappa$ be an uncountable cardinal of a c.t.m $M$ of $ZFC$.

Is there a generic extension of $M$ like $M[G]$ such that all cardinals of ground model collapse except $\kappa$?