Local homeomorphisms via ultrafilter convergence

被引：6

作者：

Clementino, MM ^{[1
]}

Hofmann, D

Janelidze, G

机构：

[1] Univ Coimbra, Dept Matemat, P-3001454 Coimbra, Portugal

[2] Univ Aveiro, Dept Matemat, P-3810193 Aveiro, Portugal

[3] Georgian Acad Sci, A Razmadze Math Inst, GE-380060 Tbilisi, Georgia

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2005年 / 133卷 / 03期

关键词：

local homeomorphism; discrete fibration; ultrafilter;

D O I：

10.1090/S0002-9939-04-07569-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the ultrafilter-convergence description of topological spaces, we generalize Janelidze-Sobral characterization of local homeomorphisms between finite topological spaces, showing that local homeomorphisms are the pullback-stable discrete fibrations.

引用

页码：917 / 922

页数：6

共 7 条

[1]

Burroni A., 1971, CAHIERS TOPOLOGIE GE, V12, P215

[2] Metric, topology and multicategory - a common approach [J].