Spectra of compact regular frames (Q2808148)
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scientific article; zbMATH DE number 6585662
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectra of compact regular frames |
scientific article; zbMATH DE number 6585662 |
Statements
26 May 2016
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frame
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spectrum of a frame
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compact regular frame
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compact Hausdorff space
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Gleason cover
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zero-dimensional frame
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extremally disconnected frame
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scattered frame
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Spectra of compact regular frames (English)
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The category \(\mathsf{KRFrm}\) of compact regular frames and frame homomorphisms is dually equivalent to the category \(\mathsf{KHaus}\) of compact Hausdorff spaces and continuous maps [\textit{J. R. Isbell}, Math. Scand. 31, 5--32 (1972; Zbl 0246.54028)]. The functor \(\mathsf{KRFrm}\to \mathsf{KHaus}\) on this duality associates with each compact regular frame \(L\) the compact Hausdorff space \(\text{pt}(L)\)
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