Covering maps inject path-homotopy classes: local context
Project map · Chapter map · Full theorem DAG · Open textbook statement
This local map shows one dependency hop in either direction. The highlighted item is the current focus. in mathlib1Upstreamed into Mathlib.fully proved1Proved, and every prerequisite is fully proved too.
graph LR
n0("Covering maps inject path-homotopy classes"):::mathlib
n1("The path-class cover is simply-connected"):::fully_proved
n0 -.-> n1
class n0 focus
click n0 "../../../../roadmap/fundamental-group/covering-spaces/index.html#covering-injective-path-classes" "Covering maps inject path-homotopy classes — 1 item · 1 in mathlib"
click n1 "../../../../roadmap/fundamental-group/covering-spaces/universal-cover/index.html#universal-cover-simply-connected" "The path-class cover is simply-connected — 1 item · 1 fully proved"