Weak reflection at the successor of a singular cardinal

Mirna Džamonja; Saharon Shelah

doi:10.1112/S0024610702003757

Weak reflection at the successor of a singular cardinal

Mirna Džamonja^*
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

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

3 Scopus citations

Abstract

The notion of stationary reflection is one of the most important notions of combinatorial set theory. Weak reflection, which is, as its name suggests, a weak version of stationary reflection, is investigated. The main result is that modulo a large cardinal assumption close to 2-hugeness, there can be a regular cardinal κ such that the first cardinal weakly reflecting at κ is the successor of a singular cardinal. This answers a question of Cummings, Džamonja and Shelah.

Original language	English
Pages (from-to)	1-15
Number of pages	15
Journal	Journal of the London Mathematical Society
Volume	67
Issue number	1
DOIs	https://doi.org/10.1112/S0024610702003757
State	Published - Feb 2003

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Weak reflection at the successor of a singular cardinal

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