sigma-lacunary actions of Polish groups

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F20%3A00525501" target="_blank" >RIV/67985840:_____/20:00525501 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1090/proc/14982" target="_blank" >https://doi.org/10.1090/proc/14982</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1090/proc/14982" target="_blank" >10.1090/proc/14982</a>

Result language
angličtina
Original language name
sigma-lacunary actions of Polish groups
Original language description
We show that every essentially countable orbit equivalence relation induced by a continuous action of a Polish group on a Polish space is sigma-lacunary. In combination with Gao and Jackson [Invent. Math. 201 (2015), pp. 309-383] we obtain a straightforward proof of the result from Ding and Gao [Adv. Math. 307 (2017), pp. 312-343] that every essentially countable equivalence relation that is induced by an action of an abelian nonarchimedean Polish group is Borel reducible to E-0, i.e., it is essentially hyperfinite.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GF17-33849L" target="_blank" >GF17-33849L: Filters, Ultrafilters and Connections with Forcing</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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