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Integrals and Valuations
- Source :
- Journal of Logic and Analysis, 1, 3, pp. 1-22, Journal of Logic and Analysis, Vol 1, Iss 0 (2009), Journal of Logic and Analysis, 1, 1-22
- Publication Year :
- 2008
- Publisher :
- arXiv, 2008.
-
Abstract
- We construct a homeomorphism between the compact regular locale of integrals on a Riesz space and the locale of (valuations) on its spectrum. In fact, we construct two geometric theories and show that they are biinterpretable. The constructions are elementary and tightly connected to the Riesz space structure.<br />Comment: Submitted for publication 15/05/08
- Subjects :
- Pure mathematics
Logic
Structure (category theory)
Mathematics::Classical Analysis and ODEs
Riesz space
Spectrum (topology)
28C05
FOS: Mathematics
Category Theory (math.CT)
03F60
Mathematics
Mathematics::Functional Analysis
lcsh:Mathematics
Locale (computer hardware)
06D22
Mathematics - Category Theory
Mathematics - Logic
lcsh:QA1-939
Homeomorphism
Mathematics Subject Classification
Modeling and Simulation
ComputingMethodologies_DOCUMENTANDTEXTPROCESSING
Digital Security
Construct (philosophy)
Logic (math.LO)
Analysis
Subjects
Details
- ISSN :
- 17599008
- Database :
- OpenAIRE
- Journal :
- Journal of Logic and Analysis, 1, 3, pp. 1-22, Journal of Logic and Analysis, Vol 1, Iss 0 (2009), Journal of Logic and Analysis, 1, 1-22
- Accession number :
- edsair.doi.dedup.....8ceb43d334fa642564e79e86d996d492
- Full Text :
- https://doi.org/10.48550/arxiv.0808.1522