ESE. Shchepin
E. Shchepin
*This is an algorithmically generated author record based on publicly available information.
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
E. Shchepin has a total of 1 co-authors. Here are the top co-authors by number of shared publications:
- Vesko Valov
Nipissing University
4 shared publications
Latest Publications
- 20 September 2023
- Published by Elsevier in Topology and its Applications
- Vol. 340
Extending homeomorphisms on Cantor cubes
- 20 September 2023
- Published by Elsevier in Topology and its Applications
- Vol. 340
Extending homeomorphisms on Cantor cubes
- Open Access
Extending homeomorphisms on Cantor cubes
We discuss the question of extending homeomorphism between closed subsets of the Cantor discontinuum $D^\tau$. It is established that any homeomorphism $f$ between two closed subsets of $D^\tau$ can be extended to an autohomeomorphism of $D^\tau$ provided $f$ preserves the $\lambda$-interiors of the sets for every cardinal $\lambda$.Open AccessExtending homeomorphisms on Cantor cubes
We discuss the question of extending homeomorphism between closed subsets of the Cantor discontinuum $D^\tau$. It is established that any homeomorphism $f$ between two closed subsets of $D^\tau$ can be extended to an autohomeomorphism of $D^\tau$ provided $f$ preserves the $\lambda$-interiors of the sets for every cardinal $\lambda$. - Open Access
- 28 February 2023
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 66 (4) , 1084-1090
On homogeneity of Cantor cubes
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 $D^{\tau }$ .- 28 February 2023
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 66 (4) , 1084-1090
Open AccessOn homogeneity of Cantor cubes
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 $D^{\tau }$ . - Open Access
On homogeneity of Cantor cubes
It is established that any homeomorphism between two closed negligible subset of $D^\tau$ can be extended to an autohomeomorphism of $D^\tau$.Open AccessOn homogeneity of Cantor cubes
It is established that any homeomorphism between two closed negligible subset of $D^\tau$ can be extended to an autohomeomorphism of $D^\tau$.