Theorems · Theorem · general topology

stoneCechExtend_stoneCechUnit

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

Defined in

Mathlib.Topology.Compactification.StoneCech

Cited by

1 results in Mathlib

Foundations

Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceT2SpaceCompactSpace