Weak Reflection at the Successor of a Singular Cardinal | Zendy

Džamonja Mirna | Zendy; Shelah Saharon | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

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.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research