An Essential, Hyperconnected, Local Geometric Morphism that is not Locally Connected

被引：3

作者：

Hemelaer, Jens ^{[1
]}

Rogers, Morgan ^{[2
]}

机构：

[1] Univ Antwerp, Dept Math, Middelheimlaan 1, B-2020 Antwerp, Belgium

[2] Univ Insubria, Ist Nazl Alta Matemat, Via Valleggio 11, I-22100 Como, CO, Italy

来源：

APPLIED CATEGORICAL STRUCTURES | 2021年 / 29卷 / 04期

关键词：

Grothendieck topos; Essential; Hyperconnected; Local; Locally connected; Geometric morphism;

D O I：

10.1007/s10485-020-09626-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Thomas Streicher asked on the category theory mailing list whether every essential, hyperconnected, local geometric morphism is automatically locally connected. We show that this is not the case, by providing a counterexample.

引用

页码：573 / 576

页数：4

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