Extending maps between pre-uniform spaces

• García-Máynez, Adalberto ^[2] ; Mancio-Toledo, Rubén ^[1]
  1. [1] Instituto Politécnico Nacional

     Instituto Politécnico Nacional

     México

     
  2. [2] Universidad Nacional Autónoma
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 13, Nº. 1, 2012, págs. 21-25
• Idioma: inglés
• DOI: 10.4995/agt.2012.1634
• Enlaces
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• Resumen

  • 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.

• Referencias bibliográficas
  • A. García-Máynez and R. Mancio Toledo, Completions of pre-uniform spaces, Appl. Gen. Topol. 8, no. 2 (2007), 213–221.
  • A. García-Máynez and A. Tamariz, Topología General, Ed. Porrúa, México, 1988.
  • D. Harris, Structures in Topology, Memoirs of The American Mathematical Society, No. 115, Providence, Rhode Island, AMS, 1971.
  • R. Mancio Toledo, Los espacios pre-uniformes y sus completaciones, Ph. D. Thesis, UNAM, 2006.