μ-complete Souslin trees on μ+

Archive for Mathematical Logic 32 (3):195-201 (1993)
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Abstract

We prove thatµ=µ <µ , 2 µ =µ + and “there is a non-reflecting stationary subset ofµ + composed of ordinals of cofinality <μ” imply that there is a μ-complete Souslin tree onµ +

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Citations of this work

Chain conditions of products, and weakly compact cardinals.Assaf Rinot - 2014 - Bulletin of Symbolic Logic 20 (3):293-314,.
A microscopic approach to Souslin-tree constructions, Part I.Ari Meir Brodsky & Assaf Rinot - 2017 - Annals of Pure and Applied Logic 168 (11):1949-2007.
A microscopic approach to Souslin-tree construction, Part II.Ari Meir Brodsky & Assaf Rinot - 2021 - Annals of Pure and Applied Logic 172 (5):102904.
On guessing generalized clubs at the successors of regulars.Assaf Rinot - 2011 - Annals of Pure and Applied Logic 162 (7):566-577.

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References found in this work

Set theory.Thomas Jech - 1981 - Journal of Symbolic Logic.
Reflecting stationary sets.Menachem Magidor - 1982 - Journal of Symbolic Logic 47 (4):755-771.
The fine structure of the constructible hierarchy.R. Björn Jensen - 1972 - Annals of Mathematical Logic 4 (3):229.
Higher Souslin trees and the generalized continuum hypothesis.John Gregory - 1976 - Journal of Symbolic Logic 41 (3):663-671.

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