Atlas home || Conferences | Abstracts | about Atlas

Spring Topology and Dynamics Conference 2006
March 23-25, 2006
University of North Carolina at Greensboro
Greensboro, NC, USA

Organizers
Gregory Bell, Alexander Chigogidze, Paul Duvall, Jan Rychtar, Jerry Vaughan

View Abstracts
Conference Homepage

I-weight of compact, locally compact and paracompact LOTS
by
Brad Bailey
Auburn University

Ramírez-Páramo recently proved that under GCH for the class of compact Hausdorff spaces i-weight reflects all cardinals. We show that in ZFC i-weight reflects all cardinals for the class of compact LOTS. We define local i-weight. Then we calculate i-weight of locally compact LOTS and paracompact spaces in terms of the extent of the space and the i-weight of open sets or the local i-weight. For locally compact LOTS we find a necessary and sufficient condition for i-weight to reflect cardinal k. For hereditarily paracompact LOTS we find a sufficient condition for i-weight to reflect cardinal k.

Date received: February 28, 2006

Copyright © 2006 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 # cast-33.