Kurepa-trees and Namba-forcing

We show that compact cardinals and {\rm MM} are sensitive to $\lambda$-closed forcings for arbitrarily large $\lambda$. This is done by adding 'regressive' $\lambda$-Kurepa-trees in either case. We argue that the destruction of regressive Kurepa-trees with {\rm MM} requires the use of Namba forcing.

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Additional Info

Field Value
Source https://hal.science/hal-00023751
Author Koenig, Bernhard, Yoshinobu, Yasuo
Maintainer CCSD
Last Updated May 26, 2026, 19:57 (UTC)
Created May 26, 2026, 19:57 (UTC)
Identifier hal-00023751
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Équipe de Logique Mathématique (ELM) ; Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS)
creator Koenig, Bernhard
date 2006-05-04T00:00:00
harvest_object_id e45c0361-61cf-4ee7-88ba-e2d5097ddf71
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2024-04-04T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/math.LO/0605130
set_spec type:UNDEFINED