Specialization.map

{α : Type u_1} →
  {β : Type u_2} →
    [inst : TopologicalSpace α] → [inst_1 : TopologicalSpace β] → C(α, β) → Specialization α →o Specialization β

A continuous map between topological spaces induces a monotone map between their specialization orders.

Defined in: Mathlib.Topology.Specialization
Cited by: 3 results in Mathlib
Foundations: Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace TopologicalSpace

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