<div class="csl-bib-body">
<div class="csl-entry">Medini, A., & Vidnyánszky, Z. (2023, August 4). <i>Zero-dimensional σ-homogeneous spaces</i> [Conference Presentation]. “Set-Theoretic Topology” workshop 2023, Oaxaca, Mexico. http://hdl.handle.net/20.500.12708/189764</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/189764
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dc.description.abstract
All spaces are assumed to be separable and metrizable. Ostrovsky showed that every zero-dimensional Borel space is σ-homogeneous. In this talk, we will discuss the following results, which were inspired by Ostrovsky's theorem: (1) Assuming AD, every zero-dimensional space is σ-homogeneous, (2) Assuming AC, there exists a zero-dimensional space that is not σ-homogeneous, (3) Assuming V=L, there exists a coanalytic zero-dimensional space that is not σ-homogeneous. Along the way, we will introduce two notions of hereditary rigidity, and give alternative proofs of results of van Engelen, Miller and Steel. It is an open problem whether every analytic zero-dimensional space is σ-homogeneous. This is joint work with Zoltán Vidnyánszky.
en
dc.language.iso
en
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dc.subject
Zero-dimensional
en
dc.subject
homogeneous
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dc.subject
Wadge theory
en
dc.title
Zero-dimensional σ-homogeneous spaces
en
dc.type
Presentation
en
dc.type
Vortrag
de
dc.contributor.affiliation
California Institute of Technology, United States of America (the)
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dc.type.category
Conference Presentation
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tuw.publication.invited
invited
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tuw.researchTopic.id
A3
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tuw.researchTopic.name
Fundamental Mathematics Research
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tuw.researchTopic.value
100
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tuw.publication.orgunit
E104-08 - Forschungsbereich Mengenlehre
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tuw.author.orcid
0000-0003-3914-3087
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tuw.event.name
"Set-Theoretic Topology" workshop 2023
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tuw.event.startdate
30-07-2023
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tuw.event.enddate
04-08-2023
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tuw.event.online
Hybrid
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tuw.event.type
Event for scientific audience
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tuw.event.place
Oaxaca
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tuw.event.country
MX
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tuw.event.institution
Banff International Research Station for Mathematical Innovation and Discovery (BIRS)
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tuw.event.presenter
Medini, Andrea
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tuw.presentation.online
Online
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1010
-
wb.sciencebranch.value
100
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item.grantfulltext
none
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item.fulltext
no Fulltext
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item.openairecristype
http://purl.org/coar/resource_type/c_18cp
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item.cerifentitytype
Publications
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item.languageiso639-1
en
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item.openairetype
conference paper not in proceedings
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crisitem.author.dept
E104-08 - Forschungsbereich Mengenlehre
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crisitem.author.dept
California Institute of Technology
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crisitem.author.orcid
0000-0003-3914-3087
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crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie
