|
Organizers |
^*-space and Rothberger property
by
Lev Bukovsky
P. J. Safarik University, Kosice
L.Bukovsky, I. Reclaw and M. Repicky, Topology Appl. 112 (2001), 13-40 investigated several properties of topological spaces not distinguishing different types of convergences of sequences of continuous real functions. The author and C. Ciesielski in a recent paper proved that a metric SigmaSigma^*-space has Rothberger property separating so this notion from the notion of a overline QN-space. The proof was based on Miller-Fremlin characterization of Rothberger property by equivalent metrics. We show that similar ipmlication holds true for any perfectly normal space with Lindelof property. Moreover we shall present some related results.
Date received: March 4, 2003
Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cakf-03.