Resumen de Extending maps between pre-uniform spaces

Adalberto García-Máynez, Rubén Mancio-Toledo

• We give sufficient conditions on a uniformly continuous map f: (X,U) → (Y, V ) between completable T1-pre-uniform spaces (X,U), (Y, V ) to have a continuous or a uniformly continuous extension f:X → Y between the corresponding completions.