|
Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2016, Number 2, Pages 44–48
(Mi vmumm136)
|
|
|
|
This article is cited in 5 scientific papers (total in 5 papers)
Short notes
The topological entropy on a space of homeomorphisms does not belong to the first Baire class
A. N. Vetokhin Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
The parametric family of Lipschitz homeomorphisms of a compact metric space continuously depending on the parameter is studied. We construct such a family that topological entropy of homeomorphism considered as a function of the parameter does not belong to the first Baire class.
Key words:
topological entropy, Baire classification.
Received: 20.05.2015
Citation:
A. N. Vetokhin, “The topological entropy on a space of homeomorphisms does not belong to the first Baire class”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, no. 2, 44–48; Moscow University Mathematics Bulletin, 71:2 (2016), 75–78
Linking options:
https://www.mathnet.ru/eng/vmumm136 https://www.mathnet.ru/eng/vmumm/y2016/i2/p44
|
Statistics & downloads: |
Abstract page: | 123 | Full-text PDF : | 23 | References: | 24 |
|