Paranormal spaces under lozenge*

Citation
Kd. Smith et Pj. Szeptycki, Paranormal spaces under lozenge*, P AM MATH S, 128(3), 2000, pp. 903-908
Citations number
13
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
128
Issue
3
Year of publication
2000
Pages
903 - 908
Database
ISI
SICI code
0002-9939(200003)128:3<903:PSUL>2.0.ZU;2-H
Abstract
We prove that paranormal spaces of character less than or equal to omega(1) are omega(1)-collectionwise Hausdorff assuming the set-theoretic principle lozenge*. This gives an affirmative answer to problem 197 in Problems I wi sh I could solve, by W. S. Watson (Open Problems in Topology (1990), 37-76) .