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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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A space topologized by functions from w to w.
by
Akira Iwasa
University of South Carolina Beaufort

Let X=[w×w]∪{p} and F ⊆ ww (the set of all functions from w to w). We consider a space < X, t(F) > , where each point in w×w is isolated and a nbhd U of p has the form U={p}∪{(n, m):n ≥ k, m ≥ f(n)} for some k ∈ w and f ∈ F. If F is dominating in ww (with respect to eventual dominance), then < X, t(F) > is Arens's space. We characterize the space < X, t(F) > when F is not dominating in ww.

Date received: February 28, 2008

Copyright © 2008 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 # cawy-24.