A non-normal paralindelöf screenable space
Keywords:
paralindelöf, screenable, full setAbstract
We give an another proof of Fleissner's full set lemma using elementary submodels and show that a minor change of C. Navy's space is a non-normal paralindelöf screenable space. This answers a question of S. Watson.
References
R. H. Bing, Metrization of Topological Spaces, Can. J. Math. 3 (1951), 175-186.
A. Dow, An introduction to applications of elementary submodels to topology, Topology Proc. 13 (1988), 17-72.
William. G. Fleissner, A collectionwise Hausdorff, nonnormal space with a $\sigma$-locally countable base, Topology Proc. 4 (1979), 83-96.
William. G. Fleissner, The Normal Moore space conjecture and large cardinals., In Handbook of Set-Theoretic Topology, K. Kunen and J. E. Vaughan, editors, chapter 16. North-Holland, Amsterdam. (1984), 733-760.
E. Michael, A note on paracompact spaces, Proc. Am. Math. Soc. 4 (1953), 831-838.
C. Navy, ParaLindelöf versus paracompact, Thesis, University of Wisconsin. (1981).
S. Watson, Problems I wish I could Solve, In Open Problems in Topology, North Holland, Amsterdam. (1990), 38-76.
S. Watson, Separation and coding, Trans. Am. Math. Soc. 342 (1994), 83-106.
