Order, lattices, ordered algebraic structures Complete lattices and completions Concept
Frame
Summary
A frame is a complete lattice in which finite meets distribute over arbitrary joins. The open sets of any topological space form a frame, and frames are the algebraic objects of pointless topology. As ordered sets, frames are exactly the complete Heyting algebras; the word "frame" signals that the maps considered preserve finite meets and arbitrary joins.
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About this page
| Tag | 306PWGH7BF |
|---|---|
| URI | m2://306PWGH7BF |
| Kind | concept |
| Writing | W0 stub |
| MSC | 06D22, 18F70 |
| Specializes | Complete lattice, Heyting algebra |
| Changed | 2 November 2026 |
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