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Paranormal spaces under |
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| Authors: | Kerry D. Smith Paul J. Szeptycki |
| Affiliation: | Department of Mathematical Sciences, Franklin College, Franklin, Indiana 46131-2598 ; Department of Mathematics, Ohio University, Athens, Ohio 45701-2979 |
| Abstract: | We prove that paranormal spaces of character  are  -collectionwise Hausdorff assuming the set-theoretic principle  . 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). |
| Keywords: | $diamondsuit ^{*}$ paranormal first countable $omega _{1}$-collectionwise Hausdorff |
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