Extending maps between pre-uniform spaces

Applied General Topology

Rubén Mancio-Toledo¹  Adalberto García-Máynez² 

[1] Instituto Politécnico Nacional;Universidad Nacional Autónoma;

关键词: Minimal;    Round;    Pre-uniform;    Completion;    Extension;   

DOI  :  10.4995/agt.2012.1634

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown