A loop splits across an open cover: 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("A loop splits across an open cover"):::fully_proved n1("Higher spheres are simply connected"):::fully_proved n2("The van Kampen cover map is surjective"):::fully_proved n0 --> n1 n0 -.-> n2 class n0 focus click n0 "../../../../roadmap/fundamental-group/basic-constructions/index.html#loop-in-open-cover" "A loop splits across an open cover — 1 item · 1 fully proved" click n1 "../../../../roadmap/fundamental-group/basic-constructions/index.html#sphere-simply-connected" "Higher spheres are simply connected — 1 item · 1 fully proved" click n2 "../../../../roadmap/fundamental-group/van-kampen/index.html#van-kampen-surjective" "The van Kampen cover map is surjective — 1 item · 1 fully proved"