EQUALIZERS IN THE CATEGORIES FUZZ AND TOPFUZZ

Abstract

It is well known that the categories Fuzz of fuzzes and TopFuzz of topological fuzzes are both complete and cocomplete, and some categorical properties of them were introduced by many authors. In this paper, we introduce the structure of equalizers in these categories. In particular, we show that every regular monomorphism is an injective map, but monomorphisms need not be injective, in general.

Keywords

• fuzz
• topological fuzz
• molecular lattice
• equalizer