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
收藏
页码：573 / 576
页数：4
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