Paranormal spaces under $\diamondsuit ^{*}$
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- by Kerry D. Smith and Paul J. Szeptycki PDF
- Proc. Amer. Math. Soc. 128 (2000), 903-908 Request permission
Abstract:
We prove that paranormal spaces of character $\leq \omega _{1}$ are $\omega _{1}$- collectionwise Hausdorff assuming the set-theoretic principle $\diamondsuit ^{*}$. This gives an affirmative answer to problem 197 in Problems I wish I could solve, by W. S. Watson (Open Problems in Topology (1990), 37–76).References
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Additional Information
- Kerry D. Smith
- Affiliation: Department of Mathematical Sciences, Franklin College, Franklin, Indiana 46131-2598
- Email: smithk@franklincoll.edu
- Paul J. Szeptycki
- Affiliation: Department of Mathematics, Ohio University, Athens, Ohio 45701-2979
- Email: szeptyck@bing.math.ohiou.edu
- Received by editor(s): August 21, 1997
- Received by editor(s) in revised form: April 20, 1998
- Published electronically: May 6, 1999
- Communicated by: Alan Dow
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 903-908
- MSC (1991): Primary 54B10, 54D15, 54D20, 03E35, 03E45
- DOI: https://doi.org/10.1090/S0002-9939-99-05032-7
- MathSciNet review: 1622981