The hull orthogonal of the unit inteval [0,1]

Abstract

In this paper, the full subcategory Hcomp of Top whose objects are Hausdorff compact spaces is identified as the orthogonal hull of the unit interval I = [0,1]. The family of continuous maps rendered invertible by the reflector β◦ρ is deduced.

Keywords

• completely regular spaces
• categories
• Stone-Cech compactification