Extending maps between pre-uniform spaces

Authors

  • Adalberto García-Máynez Universidad Nacional Autónoma de México
  • Rubén Mancio-Toledo Instituto Politécnico Nacional

DOI:

https://doi.org/10.4995/agt.2012.1634

Keywords:

Minimal, Round, Pre-uniform, Completion, Extension

Abstract

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.

Downloads

Download data is not yet available.

Author Biographies

Adalberto García-Máynez, Universidad Nacional Autónoma de México

Instituto de Matemáticas

Rubén Mancio-Toledo, Instituto Politécnico Nacional

Escuela Superior de Física y Matemáticas

References

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.

Downloads

Published

2012-04-15

How to Cite

[1]
A. García-Máynez and R. Mancio-Toledo, “Extending maps between pre-uniform spaces”, Appl. Gen. Topol., vol. 13, no. 1, pp. 21–25, Apr. 2012.

Issue

Section

Articles