TopologicalSpace.secondCountableTopology_induced

∀ (α : Type u_1) (β : Type u_2) [t : TopologicalSpace β] [SecondCountableTopology β] (f : α → β),
  SecondCountableTopology α

If β is a second-countable space, then its induced topology via f on α is also second-countable.

Defined in: Mathlib.Topology.Bases
Cited by: 1 results in Mathlib
Foundations: Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace SecondCountableTopology

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