Theorems · Theorem · general topology

preStoneCechExtend_extends

∀ {α : Type u} [inst : TopologicalSpace α] {β : Type v} [inst_1 : TopologicalSpace β] [inst_2 : T2Space β]
  [inst_3 : CompactSpace β] {g : α → β} (hg : Continuous g), preStoneCechExtend hg ∘ preStoneCechUnit = g

Defined in

Mathlib.Topology.Compactification.StoneCech

Cited by

2 results in Mathlib

Foundations

Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceT2SpaceCompactSpace