Remote Access Transactions of the American Mathematical Society
Green Open Access

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
Published electronically: March 8, 1999
MathSciNet review: 1638230
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

  • 1. U. Abraham and S. Todorcevic, Partition properties of $\omega _1$ compatible with CH, Fund. Math. 152 (1997), no. 2, 165-181. MR 98b:03064
  • 2. Alan Dow, More set theory for topologists, Top. and Appl. 64 (1995), 243-300. MR 97a:54005
  • 3. M. Goldstern, Tools for your forcing construction, Set Theory of the Reals (H. Judah, ed.), Bar-Ilan, 1993, pp. 305-360. MR 94h:03102
  • 4. A. Ostaszewski, On countably compact, perfectly normal spaces, J. London Math. Soc. 14 (1976), 505-516. MR 55:11210
  • 5. Saharon Shelah, Proper forcing, Springer-Verlag, New York, 1982. MR 84h:03002
  • 6. -, Proper and improper forcing, Perspectives in Mathematical Logic, Springer, Berlin, 1998. MR 98m:03002

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 03E35, 03E50, 54A35

Retrieve articles in all journals with MSC (1991): 03E35, 03E50, 54A35

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

Judith Roitman
Affiliation: Department of Mathematics University of Kansas Lawrence, Kansas 66045-0001

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

American Mathematical Society