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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

CH with no Ostaszewski spaces


Authors: Todd Eisworth and Judith Roitman
Journal: Trans. Amer. Math. Soc. 351 (1999), 2675-2693
MSC (1991): Primary 03E35, 03E50, 54A35
DOI: https://doi.org/10.1090/S0002-9947-99-02407-1
Published electronically: March 8, 1999
MathSciNet review: 1638230
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Abstract: There are models of CH without Ostaszeswki spaces. If $X$ is locally compact and sub-Ostaszewski, there is a forcing $P_X$ which does not add reals and which forces ``$X$ is not sub-Ostaszewski''.


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Additional Information

Todd Eisworth
Affiliation: Institute of Mathematics The Hebrew University Jerusalem, Israel
Address at time of publication: Department of Mathematics, Ohio University, Athens, Ohio 45701
Email: eisworth@math.huji.ac.il

Judith Roitman
Affiliation: Department of Mathematics University of Kansas Lawrence, Kansas 66045-0001
Email: roitman@math.ukans.edu

DOI: https://doi.org/10.1090/S0002-9947-99-02407-1
Keywords: Ostaszewski space, Continuum Hypothesis, iterated forcing
Received by editor(s): December 20, 1996
Received by editor(s) in revised form: November 23, 1997
Published electronically: March 8, 1999
Additional Notes: Research was done while the first author was a temporary assistant professor at the University of Kansas
Article copyright: © Copyright 1999 American Mathematical Society