Recent progress on characterizing lattices C(X) and U(Y)

Abstrakt

A unified approach to characterizations of the set of continuous or uniform real-valued functions, considered as Riesz spaces, l-groups and lattices, is given. In general, a categorical approach is used.

Klíčová slova

• lattices of continuous functions
• uniformly continuous functions
• Riesz spaces
• l-groups