Open AccessExtending maps between pre-uniform spaces
Author(s) -
Adalberto García-Máynez,
Rubén Mancio-Toledo
Publication year - 2013
Publication title -
applied general topology
Language(s) - English
Resource type - Journals
eISSN - 1989-4147
pISSN - 1576-9402
DOI - 10.4995/agt.2012.1634
Subject(s) - mathematics , uniform continuity , extension (predicate logic) , continuous map , uniform limit theorem , pure mathematics , discrete mathematics , combinatorics , metric space , computer science , programming language
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
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