Document Type

Article

Language

eng

Format of Original

16 p.

Publication Date

2012

Publisher

University of Houston

Source Publication

Houston Journal of Mathematics

Source ISSN

0362-1588

Abstract

Let X be a topological graph, with arcs joined only at end points. If Y is any locally connected metrizable compactum that is co-elementarily equivalent to X, then Y is homeomorphic to X. In particular, X and Y are homeomorphic if some lattice base for one is elementarily equivalent to some lattice base for the other.

Comments

Published version. Houston Journal of Mathematics, Vol. 38, No. 1 (2012): 295-310. Permalink. © 2012 University of Houston. Used with permission.

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