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DENSE IDEALS AND CARDINAL ARITHMETIC

Published online by Cambridge University Press:  14 September 2016

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

Keywords

Primary 03E35Secondary 03E55generic large cardinalsdense idealscardinal arithmetic
Type
Articles
Information
The Journal of Symbolic Logic , Volume 81 , Issue 3 , September 2016 , pp. 789 - 813
Copyright
Copyright © The Association for Symbolic Logic 2016 

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