License: 
Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.CSL.2022.9
URN: urn:nbn:de:0030-drops-157293
URL: https://drops.dagstuhl.de/opus/volltexte/2022/15729/
de Brecht, Matthew
Constructing the Space of Valuations of a Quasi-Polish Space as a Space of Ideals
Abstract
We construct the space of valuations on a quasi-Polish space in terms of the characterization of quasi-Polish spaces as spaces of ideals of a countable transitive relation. Our construction is closely related to domain theoretical work on the probabilistic powerdomain, and helps illustrate the connections between domain theory and quasi-Polish spaces. Our approach is consistent with previous work on computable measures, and can be formalized within weak formal systems, such as subsystems of second order arithmetic.
BibTeX - Entry
@InProceedings{debrecht:LIPIcs.CSL.2022.9,
author = {de Brecht, Matthew},
title = {{Constructing the Space of Valuations of a Quasi-Polish Space as a Space of Ideals}},
booktitle = {30th EACSL Annual Conference on Computer Science Logic (CSL 2022)},
pages = {9:1--9:10},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-218-1},
ISSN = {1868-8969},
year = {2022},
volume = {216},
editor = {Manea, Florin and Simpson, Alex},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/opus/volltexte/2022/15729},
URN = {urn:nbn:de:0030-drops-157293},
doi = {10.4230/LIPIcs.CSL.2022.9},
annote = {Keywords: Quasi-Polish spaces, space of valuations, domain theory, measure theory}
}
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Keywords: |
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Quasi-Polish spaces, space of valuations, domain theory, measure theory |
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Collection: |
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30th EACSL Annual Conference on Computer Science Logic (CSL 2022) |
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Issue Date: |
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2022 |
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Date of publication: |
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27.01.2022 |
