Every group is a fundamental group: 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.

fully proved3Proved, and every prerequisite is fully proved too.

graph LR n0("Every group admits a generators-and-relations presentation"):::fully_proved n1("Presented groups have two-dimensional presentation complexes"):::fully_proved n2("Every group is a fundamental group"):::fully_proved n0 -.-> n2 n1 -.-> n2 click n0 "../../../../roadmap/fundamental-group/van-kampen/index.html#every-group-presentation" "Every group admits a generators-and-relations presentation — 1 item · 1 fully proved" click n1 "../../../../roadmap/fundamental-group/van-kampen/presentation-complex/index.html#presentation-complex-realization" "Presented groups have two-dimensional presentation complexes — 1 item · 1 fully proved" class n2 focus click n2 "../../../../roadmap/fundamental-group/van-kampen/index.html#every-group-fundamental-group" "Every group is a fundamental group — 1 item · 1 fully proved"