Mathlib Map

Structures · Topology

ContinuousSup

Let L be a topological space and let L×L be equipped with the product topology and let ⊓:L×L → L be a supremum. Then L is said to have (jointly) continuous supremum if the map ⊓:L×L → L is continuous.

Defined in
Mathlib.Topology.Order.Lattice
Shape
One type argument · adds continuous_sup

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Extended by1

Concrete types that are instances4

  • TopologicalSpace.NonemptyCompacts
  • TopologicalSpace.Compacts
  • TopologicalSpace.Closeds
  • OrderDual

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Assumed by78

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