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Theorems · Definition · general topology

StoneCech

(α : Type u) → [TopologicalSpace α] → Type u

The Stone-Čech compactification of a topological space.

Defined in
Mathlib.Topology.Compactification.StoneCech
Cited by
16 results in Mathlib
Foundations
Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

stoneCechUnit · cited by 15stoneCechUnitstoneCechExtend · cited by 6stoneCechExtendisInducing_stoneCechUnit · cited by 4isInducing_stoneCechUnitstoneCechExtend_extends · cited by 4stoneCechExtend_extendsdenseRange_stoneCechUnit · cited by 3denseRange_stoneCechUnitcontinuous_stoneCechExtend · cited by 2continuous_stoneCechExtendinjective_stoneCechUnit_of_t35Space · cited by 2injective_stoneCechUnit_o…continuous_stoneCechUnit · cited by 1continuous_stoneCechUnitisEmbedding_stoneCechUnit · cited by 1isEmbedding_stoneCechUniteq_if_stoneCechUnit_eq · cited by 1eq_if_stoneCechUnit_eqisDenseInducing_stoneCechUnit · cited by 1isDenseInducing_stoneCech…stoneCechObj · cited by 1stoneCechObjcompletelyRegularSpace_iff_isInducing_stoneCechUnit · cited by 0completelyRegularSpace_if…t35Space_iff_isEmbedding_stoneCechUnit · cited by 0t35Space_iff_isEmbedding_…StoneCech.projective · cited by 0StoneCech.projectiveTopologicalSpace · cited by 24529TopologicalSpaceT2Quotient · cited by 8T2QuotientPreStoneCech · cited by 7PreStoneCechStoneCechCITED BYCITES

Cites3

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Cited by20

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