BANACH-STONE-LIKE THEOREMS FOR LATTICES OF UNIFORMLY CONTINUOUS FUNCTIONS

Abstrakt

New couples of uniform spaces X, Y are found out for which a lattice isomorphism between U (X) and U (Y) implies a uniform homeomorphism between X and Y.

Klíčová slova

• Banach-Stone
• lattice of uniformly continuous functions
• R-generated uniform space