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DENSE IDEALS AND CARDINAL ARITHMETIC

Published online by Cambridge University Press:  14 September 2016

MONROE ESKEW*
Affiliation:
DEPARTMENT OF MATHEMATICS AND APPLIED MATHEMATICS VIRGINIA COMMONWEALTH UNIVERSITY RICHMOND, VA, USAE-mail: [email protected]

Abstract

From large cardinals we show the consistency of normal, fine, κ-complete λ-dense ideals on ${{\cal P}_\kappa }\left( \lambda \right)$ for successor κ. We explore the interplay between dense ideals, cardinal arithmetic, and squares, answering some open questions of Foreman.

Type
Articles
Copyright
Copyright © The Association for Symbolic Logic 2016 

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