The calculus of partition sequences,

changing cofinalities, and

a question of Woodin

Authors:
Arthur W. Apter, James M. Henle and Stephen C. Jackson

Journal:
Trans. Amer. Math. Soc. **352** (2000), 969-1003

MSC (1991):
Primary 03E15, 03E35, 03E60

DOI:
https://doi.org/10.1090/S0002-9947-99-02554-4

Published electronically:
October 15, 1999

MathSciNet review:
1695015

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We study in this paper polarized infinite exponent partition relations. We apply our results to constructing a model for the theory ``ZFDC is the only regular, uncountable cardinal .'' This gives a partial answer to a question of Woodin.

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Additional Information

**Arthur W. Apter**

Affiliation:
Department of Mathematics, Baruch College, New York, New York 10010

Email:
awabb@cunyvm.cuny.edu

**James M. Henle**

Affiliation:
Department of Mathematics, Smith College, Northampton, Massachusetts 01060-2165

Email:
jhenle@smith.edu

**Stephen C. Jackson**

Affiliation:
Department of Mathematics, University of North Texas, Denton, Texas 76203

Email:
jackson@jove.acs.unt.edu

DOI:
https://doi.org/10.1090/S0002-9947-99-02554-4

Received by editor(s):
September 30, 1997

Published electronically:
October 15, 1999

Additional Notes:
The first author’s research was partially supported by PSC–CUNY grant 665337

Article copyright:
© Copyright 1999
American Mathematical Society