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Polish groups, strong type spaces and connected group components Rzepecki, Tomasz
Description
In recent work with KrupiÅ ski, we showed that strong type spaces can be seen (in a strong sense) as quotients of compact Polish groups, and as a consequence. I will give a brief account of the argument, as well as describe some applications, such as showing that a non-definable analytic subgroup of a type-definable group has index continuum (and in particular, that an analytic subgroup cannot have countably infinite index).
Item Metadata
Title |
Polish groups, strong type spaces and connected group components
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2018-10-15T11:40
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Description |
In recent work with KrupiÅ ski, we showed that strong type spaces can be seen (in a strong sense) as quotients of compact Polish groups, and as a consequence. I will give a brief account of the argument, as well as describe some applications, such as showing that a non-definable analytic subgroup of a type-definable group has index continuum (and in particular, that an analytic subgroup cannot have countably infinite index).
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Extent |
36.0
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Uniwersytet Wroclawski
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Series | |
Date Available |
2019-04-14
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0378202
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Graduate
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International