Shinko, Forte (2020) Equidecomposition in cardinal algebras. Fundamenta Mathematicae, 253 (2). pp. 197-204. ISSN 0016-2736. doi:10.4064/fm922-6-2020. https://resolver.caltech.edu/CaltechAUTHORS:20210318-141224541
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Abstract
Let Γ be a countable group. A classical theorem of Thorisson states that if X is a standard Borel Γ-space and μ and ν are Borel probability measures on X which agree on every Γ-invariant subset, then μ and ν are equidecomposable, i.e. there are Borel measures (μ_γ)_(γ∈Γ) on X such that μ=∑_γμ_γ and ν = ∑_(γ γμγ). We establish a generalization of this result to cardinal algebras.
| Item Type: | Article | |||||||||
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| Additional Information: | © 2020 Polish Academy of Sciences. The author was partially supported by NSF Grant DMS-1464475. | |||||||||
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| Issue or Number: | 2 | |||||||||
| Classification Code: | MSC: Primary 08A65; Secondary 28A60 | |||||||||
| DOI: | 10.4064/fm922-6-2020 | |||||||||
| Record Number: | CaltechAUTHORS:20210318-141224541 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20210318-141224541 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 108488 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 19 Mar 2021 00:15 | |||||||||
| Last Modified: | 16 Nov 2021 19:12 |
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