Partitioning a reflecting stationary set

Maxwell Levine; Assaf Rinot

doi:10.1090/proc/14783

Partitioning a reflecting stationary set

Maxwell Levine, Assaf Rinot

Department of Mathematics

Bar-Ilan University

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

Abstract

We address the question of whether a reflecting stationary set may be partitioned into two or more reflecting stationary subsets, providing various affirmative answers in ZFC. As an application to singular cardinal combinatorics, we infer that it is never the case that there exists a singular cardinal all of whose scales are very good.

Original language	American English
Pages (from-to)	3551-3565
Number of pages	15
Journal	Proceedings of the American Mathematical Society
Volume	148
Issue number	8
DOIs	https://doi.org/10.1090/proc/14783
State	Published - 1 Aug 2020

Keywords

Club guessing
Reflecting stationary set
Ulam matrix
Very good scale

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

Access to Document

10.1090/proc/14783

https://www.ams.org/proc/2020-148-08/S0002-9939-2020-14783-1/S0002-9939-2020-14783-1.pdf

Cite this

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Partitioning a reflecting stationary set

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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