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CH and Ostaszewski spaces

Eisworth, Todd
Roitman, Judith A.
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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 PX which does not add reals and which forces ``X is not sub-Ostaszewski''.
Description
This is the published version, also available here: http://dx.doi.org/10.1090/S0002-9947-99-02407-1. First published in Trans. Amer. Math. Soc. in 1999, published by the American Mathematical Society.
Date
1999-03-08
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American Mathematical Society
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This item contains archived web content.
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Keywords
Ostaszewski space, Continuum Hypothesis, iterated forcing
Citation
Eisworth, Todd & Roitman, Judith. "CH with no Ostaszewski spaces." Trans. Amer. Math. Soc. 351 (1999), 2675-2693. http://dx.doi.org/10.1090/S0002-9947-99-02407-1.
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