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Spring Topology and Dynamical Systems Conference 2008
March 13-15, 2008
University of Wisconsin Milwaukee and Marquette University
Milwaukee, WI, USA

Organizers
Ric Ancel, Karen Brucks, Craig Guilbault, Chris Hruska, Suzanne Hruska, Boris Okun (UWM); Paul Bankston (Marquette); Lois Kailhofer (Alverno College).

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Local i-weight and i-character of paracompact LOTS
by
Brad Bailey
North Georgia College and State University

We discuss the notions of local i-weight and i-character. We prove that iw(X) = max{log(e(X)),  liw(X)} for any paracompact space X. By way of example, we show that i-weight need not coincide with local i-weight. We also observe that i-weight does not necessarily reflect all cardinals for the class of paracompact spaces. For hereditarily paracompact LOTS, we find a sufficient condition for i-weight to reflect cardinal k. We study the relationship i-character has with character, i-weight and local i-weight. We also prove a reflection theorem for i-character in the class of hereditarily paracompact LOTS.

Date received: December 13, 2007

Copyright © 2007 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 # cawk-06.