<div class="csl-bib-body">
<div class="csl-entry">Marks, A., Dino, R., & Slaman, T. (2025). Hausdorff Dimension and Countable Borel Equivalence Relations. <i>Proceedings of the American Mathematical Society</i>.</div>
</div>
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dc.identifier.issn
0002-9939
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/221350
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dc.description.abstract
We show that if E is a countable Borel equivalence relation on R n, then there is a closed subset A ⊆ [0, 1]n of Hausdorff dimension n so that E ↾ A is smooth. More generally, if ≤Q is a locally countable Borel quasi-order on 2ω and g is any gauge function of lower order than the identity, then there is a closed set A so that A is an antichain in ≤Q and Hg (A) > 0.
en
dc.description.sponsorship
European Commission
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dc.description.sponsorship
FWF - Österr. Wissenschaftsfonds
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dc.language.iso
en
-
dc.publisher
AMER MATHEMATICAL SOC
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dc.relation.ispartof
Proceedings of the American Mathematical Society
-
dc.subject
Mathematics - Logic
en
dc.title
Hausdorff Dimension and Countable Borel Equivalence Relations
en
dc.type
Article
en
dc.type
Artikel
de
dc.contributor.affiliation
Mathematics - University of California, Berkeley (Berkeley, US)
-
dc.relation.grantno
101026834
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dc.relation.grantno
P 36781-N
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dc.type.category
Original Research Article
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tuw.journal.peerreviewed
true
-
tuw.peerreviewed
true
-
wb.publication.intCoWork
International Co-publication
-
tuw.project.title
Algorithmische Komplexität von Strukturen und deren Äquivalenzrelationen
-
tuw.project.title
Strukturen durch Lernen Klassifizieren
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tuw.researchTopic.id
A3
-
tuw.researchTopic.name
Fundamental Mathematics Research
-
tuw.researchTopic.value
100
-
dcterms.isPartOf.title
Proceedings of the American Mathematical Society
-
tuw.publication.orgunit
E104-02 - Forschungsbereich Computational Logic
-
dc.identifier.eissn
1088-6826
-
tuw.author.orcid
0000-0002-3703-6125
-
wb.sci
true
-
wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1010
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wb.sciencebranch.value
100
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http://purl.org/coar/resource_type/c_2df8fbb1
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item.cerifentitytype
Publications
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research article
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item.fulltext
no Fulltext
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item.languageiso639-1
en
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item.grantfulltext
none
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crisitem.author.dept
Mathematics - University of California, Berkeley (Berkeley, US)
-
crisitem.author.dept
E104-02 - Forschungsbereich Computational Logic
-
crisitem.author.orcid
0000-0002-3703-6125
-
crisitem.author.orcid
0000-0003-3494-9049
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crisitem.author.orcid
0000-0002-1719-2630
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crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie
