Topology.IsOpenMap.isStrictMap

Deprecated since 2026-07-10Use IsOpenMap.isStrictMap instead.

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {f : X → Y},
  IsOpenMap f → Continuous f → Topology.IsStrictMap f

Alias of IsOpenMap.isStrictMap. A open continuous map is a strict map.

Defined in: Mathlib.Topology.Maps.Strict.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace TopologicalSpace

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TopologicalSpacestatement · cited by 24,529
Continuousstatement · cited by 2,592
IsOpenMapstatement · cited by 253
Topology.IsStrictMapstatement · cited by 45
IsOpenMap.isStrictMapproof · cited by 2

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