Order, lattices, ordered algebraic structures Complete lattices and completions Concept
Completely distributive lattice
Summary
A completely distributive lattice is a complete lattice in which arbitrary meets distribute over arbitrary joins, in the strongest possible form. It is the infinite version of a distributive lattice. Power sets and the closed interval are completely distributive, and every completely distributive lattice is a frame.
Further reading
About this page
| Tag | 5TBC06NNS1 |
|---|---|
| URI | m2://5TBC06NNS1 |
| Kind | concept |
| Writing | W0 stub |
| MSC | 06D10, 06B23 |
| Specializes | Complete lattice |
| Same as | |
| Changed | 2 November 2026 |
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