A CHARACTERISATION OF THE CATEGORY OF COMPACT HAUSDORFF SPACES

被引：0

作者：

Marra, Vincenzo ^{[1
]}

Reggio, Luca

机构：

[1] Univ Milan, Dipartimento Matemat Federigo Enriques, Via Cesare Saldini 50, I-20133 Milan, Italy

来源：

THEORY AND APPLICATIONS OF CATEGORIES | 2020年 / 35卷

基金：

欧洲研究理事会;

关键词：

compact Hausdorff spaces; coherent category; pretopos; filtrality; Stone spaces; exact completion; ELEMENTARY THEORY; ALGEBRAIC-THEORY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide a characterisation of the category KH of compact Hausdorff spaces and continuous maps by means of categorical properties only. To this aim we introduce a notion of filtrality for coherent categories, relating certain lattices of subobjects to their Boolean centers. Our main result reads as follows: Up to equivalence, KH is the unique non-trivial well-pointed pretopos which is filtral and admits all set-indexed copowers of its terminal object.

引用

页码：1871 / 1906

页数：36

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