Ultrafilter.extend

{α : Type u} → {γ : Type u_1} → [TopologicalSpace γ] → (α → γ) → Ultrafilter α → γ

The extension of a function α → γ to a function Ultrafilter α → γ. When γ is a compact Hausdorff space it will be continuous.

Defined in: Mathlib.Topology.Compactification.StoneCech
Cited by: 6 results in Mathlib
Foundations: Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace

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