Factorization and local presentability in topological and uniform spaces

Abstract

Investigating dual local presentability of some topological and uniform classes, a new procedure is developed for factorization of maps defined on subspaces of products and a new characterization of local presentability is produced. The factorization is related to large cardinals and deals, mainly, with realcompact spaces.

Instead of factorization of maps on colimits, local presentability is characterized by means of factorization on products. (C) 2019 Published by Elsevier B.V.

Keywords

• Realcompact space
• Factorization
• Locally presentable category