APPROXIMATE MAPS, FILTER MONAD, AND A REPRESENTATION OF LOCALIC MAPS

被引：0

作者：

Banaschewski, Bernhard ^{[1
]}

Pultr, Ales ^{[2
]}

机构：

[1] McMaster Univ, Dept Math & Stat, 1280 Main St W, Hamilton, ON L8S 4K1, Canada

[2] Charles Univ Prague, Dept Appl Math & ITI, MFF, CZ-11800 Prague 1, Czech Republic

来源：

ARCHIVUM MATHEMATICUM | 2010年 / 46卷 / 04期

关键词：

frames (locales); localic maps; approximation; Kleisli representation;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A covariant representation of the category of locales by approximate maps (mimicking a natural representation of continuous maps between spaces in which one approximates points by small open sets) is constructed. It is shown that it can be given a Kleisli shape, as a part of a more general Kleisli representation of meet preserving maps. Also, we present the spectrum adjunction in this approximation setting.

引用

页码：285 / 298

页数：14

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