Mathlib Map

Theorems · Definition · general topology

OnePoint.map

{X : Type u_1} → {Y : Type u_2} → (X → Y) → OnePoint X → OnePoint Y

Extend a map f : X → Y to a map OnePoint X → OnePoint Y by sending infinity to infinity.

Defined in
Mathlib.Topology.Compactification.OnePoint.Basic
Cited by
12 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

isCusp_SL2Z_iff' · cited by 7isCusp_SL2Z_iff'isCusp_SL2Z_iff · cited by 3isCusp_SL2Z_iffHomeomorph.onePointCongr · cited by 2Homeomorph.onePointCongrOnePoint.map_infty · cited by 2OnePoint.map_inftyOnePoint.map_smul · cited by 2OnePoint.map_smulOnePoint.continuous_map_iff · cited by 1OnePoint.continuous_map_i…Homeomorph.onePointCongr_apply · cited by 0Homeomorph.onePointCongr_…Homeomorph.onePointCongr_symm_apply · cited by 0Homeomorph.onePointCongr_…OnePoint.map_some · cited by 0OnePoint.map_someOnePoint.map_comp · cited by 0OnePoint.map_compcosetToCuspOrbit_apply_mk · cited by 0cosetToCuspOrbit_apply_mkOnePoint.continuous_map · cited by 0OnePoint.continuous_mapOnePoint.map_id · cited by 0OnePoint.map_idOnePoint · cited by 126OnePointOnePoint.mapCITED BYCITES

Cites1

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by13

Results whose statement or proof uses this declaration.