| Autor: |
Buskes, Gerard, Thorn, Page |
| Rok vydání: |
2023 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| Popis: |
We show that the Carath\'{e}odory space of place functions on the free product of two Boolean algebras is Riesz isomorphic with Fremlin's Archimedean Riesz space tensor product of their respective Carath\'{e}odory spaces of place functions. We provide a solution to Fremlin's problem 315Y(f) in \cite{fremlin_measure} concerning completeness in the free product of Boolean algebras by applying our results on the Archimedean Riesz space tensor product to Carath\'{e}odory spaces of place functions. |
| Databáze: |
arXiv |
| Externí odkaz: |
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