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Weak Reflection at the Successor of a Singular Cardinal
Author(s) -
Džamonja Mirna,
Shelah Saharon
Publication year - 2003
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610702003757
Subject(s) - successor cardinal , reflection (computer programming) , mathematics , modulo , regular cardinal , reflection principle (wiener process) , combinatorics , pure mathematics , discrete mathematics , mathematical analysis , computer science , knowledge management , innovation diffusion , diffusion process , geometric brownian motion , programming language
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.