Frames of continuous functions

In the standard approach to pointfree topology via frames/locales, a topological space is represented by its frame of open subsets. The aim of this note is to propose an alternative approach, by representing a topological space by a frame of continuous functions with values in what we call a topological frame. A prime example of such a familiar representation is the frame of lower semicontinuous [0,\infty]-valued functions on a topological space.

Publication year:2020

CSS-citation score:1

Accessibility:Closed