CH with no Ostaszewski spaces
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- by Todd Eisworth and Judith Roitman PDF
- Trans. Amer. Math. Soc. 351 (1999), 2675-2693 Request permission
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”.References
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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
- MR Author ID: 149915
- Email: roitman@math.ukans.edu
- 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
- © Copyright 1999 American Mathematical Society
- 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
- MathSciNet review: 1638230