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We show that if there exists a countable Borel equivalence relation which is hyper-hyperfinite but not hyperfinite then the complexity of hyperfinite countable Borel equivalence relations is as high as possible, namely, $\Sigma^1_2$-complete.
Externí odkaz:
http://arxiv.org/abs/2409.16445
Autor:
Iyer, Sumun, Shinko, Forte
We show that for a countable discrete group which is locally of finite asymptotic dimension, the generic continuous action on Cantor space has hyperfinite orbit equivalence relation. In particular, this holds for free groups, answering a question of
Externí odkaz:
http://arxiv.org/abs/2409.03078
We identify natural conditions for a countable group acting on a countable tree which imply that the orbit equivalence relation of the induced action on the Gromov boundary is Borel hyperfinite. Examples of this condition include acylindrical actions
Externí odkaz:
http://arxiv.org/abs/2307.10964
Autor:
Takeshi Watanabe, Satoshi Yasuda, Shinji Kusakawa, Takuya Kuroda, Hatsue Furukawa, Mayumi Futamura, Shigekazu Shimizu, Akihiko Morishita, Shinko Hata, Akiko Koeda, Kana Komatsu, Yoji Sato
Publikováno v:
Regenerative Therapy, Vol 26, Iss , Pp 315-323 (2024)
Introduction: MEASURE2 (Multisite Evaluation Study on Analytical Methods for Non-clinical Safety Assessment of HUman-derived REgenerative Medical Products 2) is a Japanese experimental public–private partnership initiative that aims to standardize
Externí odkaz:
https://doaj.org/article/912fe7017d9e4325ae16d6184b69c4af
Publikováno v:
In International Journal of Pressure Vessels and Piping August 2024 210
Publikováno v:
Mechanical Engineering Journal, Vol 11, Iss 4, Pp 24-00110-24-00110 (2024)
To investigate the crack growth behavior in a cladded structure, a numerical simulation method based on the extended finite element method (XFEM) was developed. This method employs 8-node hexahedral continuum elements enriched only with the Heaviside
Externí odkaz:
https://doaj.org/article/ab80d9b7c324405ba7bf505112d500a5
We study topological realizations of countable Borel equivalence relations, including realizations by continuous actions of countable groups, with additional desirable properties. Some examples include minimal realizations on any perfect Polish space
Externí odkaz:
http://arxiv.org/abs/2109.12486
Publikováno v:
In Neurocomputing 7 April 2024 577
Publikováno v:
Oman Medical Journal, Vol 39, Iss 2, Pp e619-e619 (2024)
A 32-year-old woman at 26 weeks gestation presented with severe unexplained thrombocytopenia with signs and symptoms of severe pregnancy-induced hypertension and what appeared to be hemolysis, elevated liver enzymes, and low platelet count syndrome,
Externí odkaz:
https://doaj.org/article/40c4be02724448418a8c51b3ea74a4ae
Given a countable Borel equivalence relation E and a countable group G, we study the problem of when a Borel action of G on X/E can be lifted to a Borel action of G on X.
Comment: 39 pages; updated references to CBER book
Comment: 39 pages; updated references to CBER book
Externí odkaz:
http://arxiv.org/abs/2011.01395