Geodesic
Szpilrajn type theorem for concentration dimension
Jozef Myjak1 ; Tomasz Szarek2
1 Dipartimento di Matematica Pura ed Applicata Università di L'Aquila Via Vetoio 67100 L'Aquila, Italy and WSM AGH Mickiewicza 30 30-059 Kraków, Poland
2 Institute of Mathematics Polish Academy of Sciences Bankowa 14 40-007 Katowice, Poland and Department of Mathematics Technical University of Rzeszów Pola 6 35-959 Rzeszów, Poland
Fundamenta Mathematicae, Tome 172 (2002) no. 1, pp. 19-25

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

Let $X$ be a locally compact, separable metric space. We prove that $\dim_{\rm T} X=\inf \{\dim_{\rm L} X': X'\hbox{ is homeomorphic to } X\}$, where $\dim_{\rm L} X$ and $\dim_{\rm T} X$ stand for the concentration dimension and the topological dimension of $X$, respectively.
DOI : 10.4064/fm172-1-2
Mots-clés : locally compact separable metric space prove dim inf dim hbox homeomorphic where dim dim stand concentration dimension topological dimension respectively

Jozef Myjak 1 ; Tomasz Szarek 2

1 Dipartimento di Matematica Pura ed Applicata Università di L'Aquila Via Vetoio 67100 L'Aquila, Italy and WSM AGH Mickiewicza 30 30-059 Kraków, Poland
2 Institute of Mathematics Polish Academy of Sciences Bankowa 14 40-007 Katowice, Poland and Department of Mathematics Technical University of Rzeszów Pola 6 35-959 Rzeszów, Poland 
@article{10_4064_fm172_1_2,
     author = {Jozef Myjak and Tomasz Szarek},
     title = {Szpilrajn type theorem for concentration dimension},
     journal = {Fundamenta Mathematicae},
     pages = {19--25},
     publisher = {mathdoc},
     volume = {172},
     number = {1},
     year = {2002},
     doi = {10.4064/fm172-1-2},
     language = {fr},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm172-1-2/}
}
TY  - JOUR
AU  - Jozef Myjak
AU  - Tomasz Szarek
TI  - Szpilrajn type theorem for concentration dimension
JO  - Fundamenta Mathematicae
PY  - 2002
SP  - 19
EP  - 25
VL  - 172
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm172-1-2/
DO  - 10.4064/fm172-1-2
LA  - fr
ID  - 10_4064_fm172_1_2
ER  - 
%0 Journal Article
%A Jozef Myjak
%A Tomasz Szarek
%T Szpilrajn type theorem for concentration dimension
%J Fundamenta Mathematicae
%D 2002
%P 19-25
%V 172
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/fm172-1-2/
%R 10.4064/fm172-1-2
%G fr
%F 10_4064_fm172_1_2
Jozef Myjak; Tomasz Szarek. Szpilrajn type theorem for concentration dimension. Fundamenta Mathematicae, Tome 172 (2002) no. 1, pp. 19-25. doi: 10.4064/fm172-1-2

Cité par Sources :