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.

引用

页码：295 / 310

页数：16

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