Geodesic
Group Structures and Rectifiability in Powers of Spaces
G. J. Ridderbos1
1Faculty of Sciences Division of Mathematics Vrije Universiteit De Boelelaan 1081 A 1081 HV Amsterdam, the Netherlands
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 55 (2007) no. 4, pp. 357-363

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

DOI

We prove that if some power of a space $X$ is rectifiable, then $X^{\pi w(X)}$ is rectifiable. It follows that no power of the Sorgenfrey line is a topological group and this answers a question of Arhangel'skiĭ. We also show that in Mal'tsev spaces of point-countable type, character and $\pi$-character coincide.
DOI : 10.4064/ba55-4-7
Keywords: prove power space rectifiable rectifiable follows power sorgenfrey line topological group answers question arhangelski maltsev spaces point countable type character pi character coincide

G. J. Ridderbos  1

1 Faculty of Sciences Division of Mathematics Vrije Universiteit De Boelelaan 1081 A 1081 HV Amsterdam, the Netherlands 
G. J. Ridderbos. Group Structures and Rectifiability in Powers of Spaces. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 55 (2007) no. 4, pp. 357-363. doi: 10.4064/ba55-4-7
@article{10_4064_ba55_4_7,
     author = {G. J. Ridderbos},
     title = {Group {Structures} and {Rectifiability} in {Powers} of {Spaces}},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     pages = {357--363},
     year = {2007},
     volume = {55},
     number = {4},
     doi = {10.4064/ba55-4-7},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ba55-4-7/}
}
TY  - JOUR
AU  - G. J. Ridderbos
TI  - Group Structures and Rectifiability in Powers of Spaces
JO  - Bulletin of the Polish Academy of Sciences. Mathematics
PY  - 2007
SP  - 357
EP  - 363
VL  - 55
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ba55-4-7/
DO  - 10.4064/ba55-4-7
LA  - en
ID  - 10_4064_ba55_4_7
ER  - 
%0 Journal Article
%A G. J. Ridderbos
%T Group Structures and Rectifiability in Powers of Spaces
%J Bulletin of the Polish Academy of Sciences. Mathematics
%D 2007
%P 357-363
%V 55
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4064/ba55-4-7/
%R 10.4064/ba55-4-7
%G en
%F 10_4064_ba55_4_7

Cité par Sources :