A geometric iteration method is developed for generalised perfect set forcing P(F), enabling its iteration with ≤κ supports along well-founded partial orders while preserving cardinals ≤κ⁺.
Perfect-set forcing for uncountable cardinals.Ann
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Iterating Generalised Perfect Set Forcing Along Well-Founded Orders
A geometric iteration method is developed for generalised perfect set forcing P(F), enabling its iteration with ≤κ supports along well-founded partial orders while preserving cardinals ≤κ⁺.