Categoricity and Topological Graphs

Authors

Paul Bankston, Marquette UniversityFollow

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. Publisher Link. © 2012 University of Houston. Used with permission.

Recommended Citation

Bankston, Paul, "Categoricity and Topological Graphs" (2012). Mathematics, Statistics and Computer Science Faculty Research and Publications. 98.
https://epublications.marquette.edu/mscs_fac/98