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NORMAL MEASURES ON A TALL CARDINAL

Published online by Cambridge University Press:  13 February 2019

ARTHUR W. APTER  and
JAMES CUMMINGS
ARTHUR W. APTER
Affiliation:
DEPARTMENT OF MATHEMATICS BARUCH COLLEGE, CITY UNIVERSITY OF NEW YORK NEW YORK, NY 10010, USA and DEPARTMENT OF MATHEMATICS CUNY GRADUATE CENTER, 365 FIFTH AVENUE NEW YORK, NY 10016, USAE-mail: awapter@alum.mit.eduURL: http://faculty.baruch.cuny.edu/aapter
JAMES CUMMINGS
Affiliation:
DEPARTMENT OF MATHEMATICAL SCIENCES CARNEGIE MELLON UNIVERSITY PITTSBURGH, PA 15213, USAE-mail: jcumming@andrew.cmu.eduURL: http://www.math.cmu.edu/math/faculty/cummings.html
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Abstract

We study the number of normal measures on a tall cardinal. Our main results are that:

  • • The least tall cardinal may coincide with the least measurable cardinal and carry as many normal measures as desired.

  • • The least measurable limit of tall cardinals may carry as many normal measures as desired.

Keywords

Primary 03E35Secondary 03E55tall cardinalnormal measurenonstationary support iteration
Type
Articles
Information
The Journal of Symbolic Logic , Volume 84 , Issue 1 , March 2019 , pp. 178 - 204
Copyright
Copyright © The Association for Symbolic Logic 2019 

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