Theorems · Theorem · general topology

IsOpenMap.clusterPt_comap_iff

∀ {X : Type u_1} {Y : Type u_2} {f : X → Y} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y],
  IsOpenMap f → Continuous f → ∀ {x : X} {l : Filter Y}, ClusterPt x (Filter.comap f l) ↔ ClusterPt (f x) l

Defined in

Mathlib.Topology.Maps.Basic

Cited by

1 results in Mathlib

Foundations

Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace