The category of uniform spaces as a completion of the category of metric spaces

Adámek, Jiří, and Reiterman, Jan. "The category of uniform spaces as a completion of the category of metric spaces." Commentationes Mathematicae Universitatis Carolinae 33.4 (1992): 689-693. <http://eudml.org/doc/247411>.

@article{Adámek1992,
abstract = {A criterion for the existence of an initial completion of a concrete category $\mathbf \{K\}$ universal w.r.tḟinite products and subobjects is presented. For $\mathbf \{K\}=$ metric spaces and uniformly continuous maps this completion is the category of uniform spaces.},
author = {Adámek, Jiří, Reiterman, Jan},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {universal completion; metric space; uniform space; universal completion; metric space; uniform space},
language = {eng},
number = {4},
pages = {689-693},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The category of uniform spaces as a completion of the category of metric spaces},
url = {http://eudml.org/doc/247411},
volume = {33},
year = {1992},
}

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
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 33
IS - 4
SP - 689
EP - 693
AB - A criterion for the existence of an initial completion of a concrete category $\mathbf {K}$ universal w.r.tḟinite products and subobjects is presented. For $\mathbf {K}=$ metric spaces and uniformly continuous maps this completion is the category of uniform spaces.
LA - eng
KW - universal completion; metric space; uniform space; universal completion; metric space; uniform space
UR - http://eudml.org/doc/247411
ER -