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pro vyhledávání: '"Primary 03E15, 28A05"'
Autor:
Foreman, Matthew, Gorodetski, Anton
The paper considers the equivalence relation of conjugacy-by-homeomorphism on diffeomorphisms of smooth manifolds. In dimension 2 and above it is shown that there is no Borel method of attaching complete numerical invariants. In dimension 5 and above
Externí odkaz:
http://arxiv.org/abs/2206.09322
Autor:
de Rancourt, N., Miller, B. D.
We establish generalizations of the Feldman-Moore theorem, the Glimm-Effros dichotomy, and the Lusin-Novikov uniformization theorem from Polish spaces to their quotients by Borel orbit equivalence relations.
Comment: 25 pages
Comment: 25 pages
Externí odkaz:
http://arxiv.org/abs/2105.05374
Autor:
de Rancourt, N., Miller, B. D.
We show that if an equivalence relation $E$ on a Polish space is a countable union of smooth Borel subequivalence relations, then there is either a Borel reduction of $E$ to a countable Borel equivalence relation on a Polish space or a continuous emb
Externí odkaz:
http://arxiv.org/abs/2105.05362
We generalize Kada's definable strengthening of Dilworth's characterization of the class of quasi-orders admitting an antichain of a given finite cardinality.
Externí odkaz:
http://arxiv.org/abs/2002.06433
Publikováno v:
J Eur Math Soc 24 (2022) 4277-4326
Given an action of a group $\Gamma$ on a measure space $\Omega$, we provide a sufficient criterion under which two sets $A, B\subseteq \Omega$ are measurably equidecomposable, i.e., $A$ can be partitioned into finitely many measurable pieces which ca
Externí odkaz:
http://arxiv.org/abs/1601.02958
Given an action of a group $\Gamma$ on a measure space $\Omega$, we provide a sufficient criterion under which two sets $A, B\subseteq \Omega$ are measurably equidecomposable, i.e., $A$ can be partitioned into finitely many measurable pieces which ca
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6fd38b0530a1f91baf024d9dc29471db
http://wrap.warwick.ac.uk/141986/1/WRAP-Measurable-equidecompositions-group-actions-expansion-property-Pikhurko-2020.pdf
http://wrap.warwick.ac.uk/141986/1/WRAP-Measurable-equidecompositions-group-actions-expansion-property-Pikhurko-2020.pdf
Publikováno v:
Journal of Mathematical Logic. 21:2150005
We generalize Kada’s definable strengthening of Dilworth’s characterization of the class of quasi-orders admitting an antichain of a given finite cardinality.