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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

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Identifying a topological graph using first-order lattice properties
by
Paul Bankston
Marquette University, Milwaukee

A lattice base for a space X is a closed-set base that is also a sublattice of the lattice of closed sets of X. Our main result is the following: Let X be a topological graph. If Y is a locally connected compact metrizable space having a lattice base that satisfies the same first-order properties as some lattice base for X, then X and Y are homeomorphic.

Date received: February 21, 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 # caqs-65.