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"