We prove that any suitable generalization of Laver forcing to the space κκ, for uncountable regular κ, necessarily adds a Cohen κ-real. We also study a dichotomy and an ideal naturally related to generalized Laver forcing. Using this dichotomy, we prove the following stronger result: if κ
Laver trees in the generalised Baire space
giorgio laguzzi;
2022-01-01
Abstract
We prove that any suitable generalization of Laver forcing to the space κκ, for uncountable regular κ, necessarily adds a Cohen κ-real. We also study a dichotomy and an ideal naturally related to generalized Laver forcing. Using this dichotomy, we prove the following stronger result: if κFile in questo prodotto:
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