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