μ-complete Souslin trees on μ+

Menachem Kojman; Saharon Shelah

doi:10.1007/BF01375551

μ-complete Souslin trees on μ⁺

Menachem Kojman
, Saharon Shelah

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

We prove that μ=μ^<μ, 2^μ=μ⁺ and "there is a non-reflecting stationary subset of μ⁺ composed of ordinals of cofinality <μ" imply that there is a μ-complete Souslin tree on μ⁺.

Original language	English
Pages (from-to)	195-201
Number of pages	7
Journal	Archive for Mathematical Logic
Volume	32
Issue number	3
DOIs	https://doi.org/10.1007/BF01375551
State	Published - 1 May 1993
Externally published	Yes

ASJC Scopus subject areas

Philosophy
Logic

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title = "μ-complete Souslin trees on μ+",

abstract = "We prove that μ=μ<μ, 2μ=μ+ and {"}there is a non-reflecting stationary subset of μ+ composed of ordinals of cofinality <μ{"} imply that there is a μ-complete Souslin tree on μ+.",

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AU - Shelah, Saharon

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N2 - We prove that μ=μ<μ, 2μ=μ+ and "there is a non-reflecting stationary subset of μ+ composed of ordinals of cofinality <μ" imply that there is a μ-complete Souslin tree on μ+.

AB - We prove that μ=μ<μ, 2μ=μ+ and "there is a non-reflecting stationary subset of μ+ composed of ordinals of cofinality <μ" imply that there is a μ-complete Souslin tree on μ+.

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DO - 10.1007/BF01375551

M3 - Article

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SN - 0933-5846

VL - 32

SP - 195

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JO - Archive for Mathematical Logic

JF - Archive for Mathematical Logic

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μ-complete Souslin trees on μ⁺

Abstract

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