Geodesic
On the Extension of Uniformly Continuous Functions(1)
Canadian mathematical bulletin, Tome 18 (1975) no. 1, pp. 143-145

Voir la notice de l'article provenant de la source Cambridge University Press

A theorem of M. Katětov asserts that a bounded uniformly continuous function f on a subspace Q of a uniform space P has a bounded uniformly continuous extension to all of P. In this note we give new proofs of two special cases of this theorem: (i) Q is totally bounded, and (ii) P is a locally compact group and Q is a subgroup, both P and Q having the left uniformity.
DOI : 10.4153/CMB-1975-027-2
Mots-clés : Primary 46J10, 54E15, Secondary 43A15, Uniform space, uniformly continuous function, extension, locally compact group 
Gardner, L. T.; Milnes, P. On the Extension of Uniformly Continuous Functions(1). Canadian mathematical bulletin, Tome 18 (1975) no. 1, pp. 143-145. doi: 10.4153/CMB-1975-027-2
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