Local path-connectedness ascends along a covering: 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. What the colours mean

fully proved3Proved, and every prerequisite is fully proved too.

graph LR n0("Local path-connectedness ascends along a covering"):::fully_proved n1("Equal image subgroups characterize pointed cover isomorphism"):::fully_proved n2("A simply-connected cover maps uniquely to every pointed connected cover"):::fully_proved n0 -.-> n1 n0 -.-> n2 class n0 focus click n0 "../../../../roadmap/fundamental-group/covering-spaces/index.html#locally-path-connected-total-space" "Local path-connectedness ascends along a covering — 1 item · 1 fully proved" click n1 "../../../../roadmap/fundamental-group/covering-spaces/index.html#pointed-cover-rigidity" "Equal image subgroups characterize pointed cover isomorphism — 1 item · 1 fully proved" click n2 "../../../../roadmap/fundamental-group/covering-spaces/index.html#universal-cover-initial" "A simply-connected cover maps uniquely to every pointed connected cover — 1 item · 1 fully proved"