A Remark on Schimmerling's Question

Ari Meir Brodsky; Assaf Rinot

doi:10.1007/s11083-019-09482-7

A Remark on Schimmerling's Question

Ari Meir Brodsky, Assaf Rinot

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

5 Scopus citations

Abstract

Schimmerling asked whether square(lambda)* + GCH entails the existence of a lambda(+)-Souslin tree, for a singular cardinal lambda. We provide an affirmative answer under the additional assumption that there exists a non-reflecting stationary subset of E-not equal cf(lambda)(lambda+). As a bonus, the outcome lambda(+)-Souslin tree is moreover free.

Original language	English
Pages (from-to)	525-561
Number of pages	37
Journal	Order
Volume	36
Issue number	3
DOIs	https://doi.org/10.1007/s11083-019-09482-7
State	Published - 1 Nov 2019
Externally published	Yes

Keywords

Microscopic approach
Parameterized proxy principle
Weak square
Postprocessing function
Non-reflecting stationary set
Free Souslin tree
Specializable Souslin tree
Complete tree
Ascending path

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10.1007/s11083-019-09482-7

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abstract = "Schimmerling asked whether square(lambda)* + GCH entails the existence of a lambda(+)-Souslin tree, for a singular cardinal lambda. We provide an affirmative answer under the additional assumption that there exists a non-reflecting stationary subset of E-not equal cf(lambda)(lambda+). As a bonus, the outcome lambda(+)-Souslin tree is moreover free.",

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KW - Postprocessing function

KW - Non-reflecting stationary set

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KW - Specializable Souslin tree

KW - Complete tree

KW - Ascending path

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A Remark on Schimmerling's Question

Abstract

Keywords

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