Published September 21, 2020
| Accepted Version
Journal Article
Open
Equidecomposition in cardinal algebras
- Creators
- Shinko, Forte
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.
Additional Information
© 2020 Polish Academy of Sciences. The author was partially supported by NSF Grant DMS-1464475.Attached Files
Accepted Version - 2002.09076.pdf
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2002.09076.pdf
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Additional details
- Eprint ID
- 108488
- Resolver ID
- CaltechAUTHORS:20210318-141224541
- DMS-1464475
- NSF
- Created
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2021-03-19Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field