Theorems · Inductive type · general topology
TopologicalSpace
Type u → Type u
A topology on X.
- Defined in
- Mathlib.Topology.Defs.Basic
- Cited by
- 24,529 results in Mathlib
- Foundations
- Depth 0 from the axioms, rests on 1 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by28,811
Results whose statement or proof uses this declaration.
- nhdsstatement · cited by 5,554
- ContinuousLinearMapstatement · cited by 5,352
- Continuousstatement · cited by 2,592
- ContinuousMapstatement · cited by 2,491
- ModelWithCornersstatement · cited by 2,462
- IsOpenstatement and proof · cited by 2,400
- ChartedSpacestatement · cited by 2,397
- TopologicalSpace.Opensstatement · cited by 2,040
- nhdsWithinstatement and proof · cited by 1,912
- IsClosedstatement · cited by 1,639
- BorelSpacestatement · cited by 1,602
- ContinuousOnstatement and proof · cited by 1,411
Showing the 200 most cited of 28,811.