Geodesic
On homogeneity of Cantor cubes
Canadian mathematical bulletin, Tome 66 (2023) no. 4, pp. 1084-1090

Voir la notice de l'article provenant de la source Cambridge

DOI

We discuss the question of extending homeomorphisms between closed subsets of the Cantor cube $D^{\tau }$. It is established that any homeomorphism between two closed negligible subsets of $D^{\tau }$ can be extended to an autohomeomorphism of $D^{\tau }$.
DOI : 10.4153/S0008439523000188
Mots-clés : Candor discontinuum, zero-dimensional spaces, homeomorphisms, τ-negligible sets 
Shchepin, E.; Valov, V. On homogeneity of Cantor cubes. Canadian mathematical bulletin, Tome 66 (2023) no. 4, pp. 1084-1090. doi: 10.4153/S0008439523000188
@article{10_4153_S0008439523000188,
     author = {Shchepin, E. and Valov, V.},
     title = {On homogeneity of {Cantor} cubes},
     journal = {Canadian mathematical bulletin},
     pages = {1084--1090},
     year = {2023},
     volume = {66},
     number = {4},
     doi = {10.4153/S0008439523000188},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000188/}
}
TY  - JOUR
AU  - Shchepin, E.
AU  - Valov, V.
TI  - On homogeneity of Cantor cubes
JO  - Canadian mathematical bulletin
PY  - 2023
SP  - 1084
EP  - 1090
VL  - 66
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000188/
DO  - 10.4153/S0008439523000188
ID  - 10_4153_S0008439523000188
ER  - 
%0 Journal Article
%A Shchepin, E.
%A Valov, V.
%T On homogeneity of Cantor cubes
%J Canadian mathematical bulletin
%D 2023
%P 1084-1090
%V 66
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000188/
%R 10.4153/S0008439523000188
%F 10_4153_S0008439523000188

Cité par Sources :