A Collapsing Result Using the Axiom of Determinancy and the Theory of Possible Cofinalities

Assuming the axiom of determinacy, we give a new proof of the strong partition relation on ω1. Further, we present a streamlined proof that J<λ+(a) (the ideal of sets which force cof Π α < λ) is generated from J<λ+(a) by adding a singleton. Combining these results with a polarized partition relation on ω1

Grantor dc:publisher

University of North Texas

Year dc:date

2001

Author dc:creator

• May, Russell J.

Contributors dc:contributor

• Jackson, Stephen C.
• Mauldin, R. Daniel
• Urbański, Mariusz
• Brand, Neal

• Set theory.
• axiom of determinacy
• possible cofinalities
• strong partition relation
• ideal of sets

Statement dc:rights

• Public
• Copyright
• May, Russell J.
• Copyright is held by the author, unless otherwise noted. All rights reserved.

Language dc:language

English

Identifier

oclc: 50647042
https://digital.library.unt.edu/ark:/67531/metadc2789/
ark: ark:/67531/metadc2789

OAI identifier oai:identifier

info:ark/67531/metadc2789