Theorems · Theorem · general topology

Continuous.compacts_map

∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] {f : α → β}
  (hf : Continuous f), Continuous (TopologicalSpace.Compacts.map f hf)

Defined in

Mathlib.Topology.Sets.VietorisTopology

Cited by

2 results in Mathlib

Foundations

Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace