Geodesic
The category of uniform spaces as a completion of the category of metric spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 4, pp. 689-693.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

A criterion for the existence of an initial completion of a concrete category $\bold K$ universal w.r.t\. finite products and subobjects is presented. For $\bold K=$ metric spaces and uniformly continuous maps this completion is the category of uniform spaces.
Classification : 18A32, 18A35, 54B30, 54E15, 54E35
Keywords: universal completion; metric space; uniform space 
@article{CMUC_1992__33_4_a13,
     author = {Ad\'amek, Ji\v{r}{\'\i} and Reiterman, Jan},
     title = {The category of uniform spaces  as a completion of the category of metric spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {689--693},
     publisher = {mathdoc},
     volume = {33},
     number = {4},
     year = {1992},
     mrnumber = {1240190},
     zbl = {0804.18001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1992__33_4_a13/}
}
TY  - JOUR
AU  - Adámek, Jiří
AU  - Reiterman, Jan
TI  - The category of uniform spaces  as a completion of the category of metric spaces
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1992
SP  - 689
EP  - 693
VL  - 33
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_1992__33_4_a13/
LA  - en
ID  - CMUC_1992__33_4_a13
ER  - 
%0 Journal Article
%A Adámek, Jiří
%A Reiterman, Jan
%T The category of uniform spaces  as a completion of the category of metric spaces
%J Commentationes Mathematicae Universitatis Carolinae
%D 1992
%P 689-693
%V 33
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_1992__33_4_a13/
%G en
%F CMUC_1992__33_4_a13
Adámek, Jiří; Reiterman, Jan. The category of uniform spaces  as a completion of the category of metric spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 4, pp. 689-693. http://geodesic.mathdoc.fr/item/CMUC_1992__33_4_a13/