Mathias–Prikry and Laver–Prikry type forcing

Michael Hrušák,Hiroaki Minami

doi:10.1016/j.apal.2013.11.003

Mathias–Prikry and Laver–Prikry type forcing

Michael Hrušák, Hiroaki Minami

Open Access

https://doi.org/10.1016/j.apal.2013.11.003

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Journal: Annals of Pure and Applied Logic	Publication Date: Dec 9, 2013
Citations: 29	License type: publisher-specific-oa

#Prikry Forcing #Combinatorial Characterization + Show 2 more

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Abstract

We study the Mathias–Prikry and Laver–Prikry forcings associated with filters on ω. We give a combinatorial characterization of Martinʼs number for these forcing notions and present a general scheme for analyzing preservation properties for them. In particular, we give a combinatorial characterization of those filters for which the Mathias–Prikry forcing does not add a dominating real.

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