nLab premetric locale

Contents

Context

Topology

topology (point-set topology, point-free topology)

see also differential topology, algebraic topology, functional analysis and topological homotopy theory

Introduction

Basic concepts

Universal constructions

Extra stuff, structure, properties

Examples

Basic statements

Theorems

Analysis Theorems

topological homotopy theory

Contents

Definition

A premetric locale is a locally positive locale that is also a setoid enriched in ( + ,,+,0)(\overleftarrow{\mathbb{R}_+^\infty}, \geq, +, 0), the locale of non-negative extended real numbers whose topology is upper semi-continuity.

 See also

References

Created on June 1, 2022 at 10:27:53. See the history of this page for a list of all contributions to it.