On the function ring functor in pointfree topology
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Publication:816653
DOI10.1007/s10485-005-5795-7zbMath1158.54308OpenAlexW1991793118MaRDI QIDQ816653
Publication date: 23 February 2006
Published in: Applied Categorical Structures (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10485-005-5795-7
completely regular framearchimedean kernelscontinuous functions in pointfree topologyleft adjoint to the function ring functorzero-dimensional frame
Frames, locales (06D22) Real-valued functions in general topology (54C30) Ordered rings, algebras, modules (06F25) Topological representations of algebraic systems (54H10)
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Cites Work
- Unnamed Item
- Unnamed Item
- On the localic Yosida representation of an archimedean lattice ordered group with weak order unit
- A uniform view of localic realcompactness
- Lindelöf locales and realcompactness
- Frames Associated with an Abelian l-Group
- PROPOSITIONAL LOGIC, FRAMES, AND FUZZY ALGEBRA
- Atomless Parts of Spaces.
- The axiom of countable choice and pointfree topology
- Realcompactness and the cozero part of a frame