Mathlib Map

Theorems · Theorem · general topology

UCompactlyGeneratedSpace.le_compactlyGenerated

∀ {X : Type v} {t : TopologicalSpace X} [self : UCompactlyGeneratedSpace X], t ≤ TopologicalSpace.compactlyGenerated X

The topology of X is finer than the compactly generated topology.

Defined in
Mathlib.Topology.Compactness.CompactlyGeneratedSpace
Cited by
2 results in Mathlib
Foundations
Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
UCompactlyGeneratedSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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eq_compactlyGenerated · cited by 2eq_compactlyGeneratedcontinuous_from_uCompactlyGeneratedSpace · cited by 1continuous_from_uCompactl…TopologicalSpace · cited by 24529TopologicalSpaceUCompactlyGeneratedSpace · cited by 12UCompactlyGeneratedSpaceTopologicalSpace.compactlyGenerated · cited by 4TopologicalSpace.compactl…UCompactlyGeneratedSpace.le_c…CITED BYCITES

Cites3

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Cited by2

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