Geodesic
On linear operators and functors extending pseudometrics
Fundamenta Mathematicae, Tome 142 (1993) no. 2, pp. 101-122

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

For some pairs (X,A), where X is a metrizable topological space and A its closed subset, continuous, linear (i.e., additive and positive-homogeneous) operators extending metrics for A to metrics for X are constructed. They are defined by explicit analytic formulas, and also regarded as functors between certain categories. An essential role is played by "squeezed cones" related to the classical cone construction. The main result: if A is a nondegenerate absolute neighborhood retract for metric spaces, then continuous linear operators extending metrics always exist.
DOI : 10.4064/fm-142-2-101-122

C. Bessaga 1

1 
@article{10_4064_fm_142_2_101_122,
     author = {C. Bessaga},
     title = {On linear operators and functors extending pseudometrics},
     journal = {Fundamenta Mathematicae},
     pages = {101--122},
     publisher = {mathdoc},
     volume = {142},
     number = {2},
     year = {1993},
     doi = {10.4064/fm-142-2-101-122},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-142-2-101-122/}
}
TY  - JOUR
AU  - C. Bessaga
TI  - On linear operators and functors extending pseudometrics
JO  - Fundamenta Mathematicae
PY  - 1993
SP  - 101
EP  - 122
VL  - 142
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm-142-2-101-122/
DO  - 10.4064/fm-142-2-101-122
LA  - en
ID  - 10_4064_fm_142_2_101_122
ER  - 
%0 Journal Article
%A C. Bessaga
%T On linear operators and functors extending pseudometrics
%J Fundamenta Mathematicae
%D 1993
%P 101-122
%V 142
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/fm-142-2-101-122/
%R 10.4064/fm-142-2-101-122
%G en
%F 10_4064_fm_142_2_101_122
C. Bessaga. On linear operators and functors extending pseudometrics. Fundamenta Mathematicae, Tome 142 (1993) no. 2, pp. 101-122. doi: 10.4064/fm-142-2-101-122

Cité par Sources :