Order, lattices, ordered algebraic structures Complete lattices and completions Concept
Continuous lattice
Summary
A continuous lattice is a complete lattice in which every element is the supremum of the elements way below it. Continuous lattices were introduced by Dana Scott as models for the semantics of programming languages, and they connect order theory with topology. Every algebraic lattice is continuous, and so is the unit interval .
Further reading
About this page
| Tag | RXBD58SGXZ |
|---|---|
| URI | m2://RXBD58SGXZ |
| Kind | concept |
| Writing | W0 stub |
| MSC | 06B35, 06B23 |
| Specializes | Complete lattice |
| Changed | 2 November 2026 |
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