1. SPECTRA OF COMPACT REGULAR FRAMES.
- Author
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BEZHANISHVILI, GURAM, GABELAIA, DAVID, and JIBLADZE, MAMUKA
- Subjects
- *
HAUSDORFF spaces , *SPECTRUM analysis , *ISOMORPHISM (Mathematics) , *FUNCTION spaces , *TOPOLOGY - Abstract
By Isbell duality, each compact regular frame L is isomorphic to the frame of opens of a compact Hausdorff space X. In this note we study the spectrum Spec(L) of prime filters of a compact regular frame L. We prove that X is realized as the minimum of Spec(L) and the Gleason cover of X as the maximum of Spec(L). We also characterize zero-dimensional, extremally disconnected, and scattered compact regular frames by means of Spec(L). [ABSTRACT FROM AUTHOR]
- Published
- 2016