Representing the language of a topos as quotient of the category of spans

M. Golshani, A. Shiralinasab Langari

Published: 2022/1/24

Abstract

We use quotients of span categories to introduce the language of a topos. We also study the logical relations and the quotients of span categories derived from them. As an application we show that the category of Boolean toposes is a reflective subcategory of the category of toposes, when the morphisms are logical functors.