CATEGORICITY AND TOPOLOGICAL GRAPHS

被引：0
作者：
Bankston, Paul [1 ]
机构：
[1] Marquette Univ, Dept Math Stat & Comp Sci, Milwaukee, WI 53201 USA
来源：
HOUSTON JOURNAL OF MATHEMATICS | 2012年 / 38卷 / 01期
关键词：
Categoricity; compacta; continua; locally connected; topological graphs; ultracoproducts; co-elementary equivalence; lattice bases; COMPACT HAUSDORFF SPACES; ARCS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let X be a topological graph; i.e., a union of finitely many points and arcs, 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.
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页码：295 / 310
页数：16
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