Connected covers are classified by conjugacy 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. What the colours mean

fully proved5Proved, and every prerequisite is fully proved too.

graph LR n0["Pointed connected covering spaces"]:::fully_proved n1("Changing the lifted basepoint conjugates the image subgroup"):::fully_proved n2["Semilocally simply-connected spaces"]:::fully_proved n3["Pointed connected covers are classified by subgroups"]:::fully_proved n4["Connected covers are classified by conjugacy classes"]:::fully_proved n0 --> n3 n0 --> n4 n1 -.-> n4 n3 -.-> n4 n2 --> n3 n2 --> n4 click n0 "../../../../roadmap/fundamental-group/covering-spaces/index.html#based-connected-cover" "Pointed connected covering spaces — 1 item · 1 fully proved" click n1 "../../../../roadmap/fundamental-group/covering-spaces/index.html#cover-basepoint-conjugacy" "Changing the lifted basepoint conjugates the image subgroup — 1 item · 1 fully proved" click n2 "../../../../roadmap/fundamental-group/covering-spaces/universal-cover/index.html#semilocally-simply-connected" "Semilocally simply-connected spaces — 1 item · 1 fully proved" click n3 "../../../../roadmap/fundamental-group/covering-spaces/index.html#pointed-cover-classification" "Pointed connected covers are classified by subgroups — 1 item · 1 fully proved" class n4 focus click n4 "../../../../roadmap/fundamental-group/covering-spaces/index.html#unpointed-cover-classification" "Connected covers are classified by conjugacy classes — 1 item · 1 fully proved"