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pro vyhledávání: '"Shchepin, E."'
It is shown that any homeomorphism between two compact subsets of $\mathbb N^\tau$ can be extended to an autohomeomorphism of $\mathbb N^\tau$.
Comment: 6 pages
Comment: 6 pages
Externí odkaz:
http://arxiv.org/abs/2205.07105
Autor:
Shchepin, E., Valov, V.
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 $D^\tau$ pro
Externí odkaz:
http://arxiv.org/abs/2111.05532
Autor:
Shchepin, E., Valov, V.
It is established that any homeomorphism between two closed negligible subset of $D^\tau$ can be extended to an autohomeomorphism of $D^\tau$.
Externí odkaz:
http://arxiv.org/abs/2109.07214
Autor:
Malykhin, Yu. V., Shchepin, E. V.
Chain distance between points in a metric space is defined as the infimum of epsilon such that there is an epsilon-chain connecting these points. We call a mapping of a metric compact into the real line a chain development if it preserves chain dista
Externí odkaz:
http://arxiv.org/abs/1604.00848
It was proved by H. Whitney in 1933 that a Serre fibration of compact metric spaces admits a global section provided every fiber is homeomorphic to the unit interval [0,1]. An extension of the Whitney's theorem to the case when all fibers are homeomo
Externí odkaz:
http://arxiv.org/abs/0902.3387
Publikováno v:
Topology and its Applications, 155 (2008), 773-782
It was proved by H. Whitney in 1933 that a Serre fibration of compact metric spaces admits a global section provided every fiber is homeomorphic to the unit interval [0,1]. Results of this paper extend Whitney theorem to the case when all fibers are
Externí odkaz:
http://arxiv.org/abs/0902.3312
It was proved by H. Whitney in 1933 that it is possible to mark a point in all curves in a continuous way. The main result of this paper extends the Whitney theorem to dimensions 2 and 3. Namely, we prove that it is possible to choose a point continu
Externí odkaz:
http://arxiv.org/abs/math/0208192
Autor:
Montejano, L., Shchepin, E. V.
Publikováno v:
Algebr. Geom. Topol. 1 (2001) 435-444
The purpose of this paper is to study how small orbits of periodic homemorphisms of spheres can be.
Comment: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol1/agt-1-22.abs.html
Comment: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol1/agt-1-22.abs.html
Externí odkaz:
http://arxiv.org/abs/math/0110061
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