Geodesic
A note on operators extending partial ultrametrics
Commentationes Mathematicae Universitatis Carolinae, Tome 46 (2005) no. 3, pp. 515-524 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

We consider the question of simultaneous extension of partial ultrametrics, i.e. continuous ultrametrics defined on nonempty closed subsets of a compact zero-dimensional metrizable space. The main result states that there exists a continuous extension operator that preserves the maximum operation. This extension can also be chosen so that it preserves the Assouad dimension.
We consider the question of simultaneous extension of partial ultrametrics, i.e. continuous ultrametrics defined on nonempty closed subsets of a compact zero-dimensional metrizable space. The main result states that there exists a continuous extension operator that preserves the maximum operation. This extension can also be chosen so that it preserves the Assouad dimension.
Classification : 54C20, 54E35, 54E40
Keywords: partial ultrametric; extension operator; Assouad dimension 
@article{CMUC_2005_46_3_a12,
     author = {Tymchatyn, E. D. and Zarichnyi, M.},
     title = {A note on operators extending partial ultrametrics},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {515--524},
     year = {2005},
     volume = {46},
     number = {3},
     mrnumber = {2174529},
     zbl = {1121.54045},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2005_46_3_a12/}
}
TY  - JOUR
AU  - Tymchatyn, E. D.
AU  - Zarichnyi, M.
TI  - A note on operators extending partial ultrametrics
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2005
SP  - 515
EP  - 524
VL  - 46
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/CMUC_2005_46_3_a12/
LA  - en
ID  - CMUC_2005_46_3_a12
ER  - 
%0 Journal Article
%A Tymchatyn, E. D.
%A Zarichnyi, M.
%T A note on operators extending partial ultrametrics
%J Commentationes Mathematicae Universitatis Carolinae
%D 2005
%P 515-524
%V 46
%N 3
%U http://geodesic.mathdoc.fr/item/CMUC_2005_46_3_a12/
%G en
%F CMUC_2005_46_3_a12
Tymchatyn, E. D.; Zarichnyi, M. A note on operators extending partial ultrametrics. Commentationes Mathematicae Universitatis Carolinae, Tome 46 (2005) no. 3, pp. 515-524. http://geodesic.mathdoc.fr/item/CMUC_2005_46_3_a12/