Presented groups have two-dimensional presentation complexes: 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 proved4Proved, and every prerequisite is fully proved too.

graph LR n0["The presentation complex has the presented fundamental group"]:::fully_proved n1["The presentation complex is an abstract two-dimensional CW complex"]:::fully_proved n2("Presented groups have two-dimensional presentation complexes"):::fully_proved n3("Every group is a fundamental group"):::fully_proved n1 -.-> n2 n0 -.-> n2 n2 -.-> n3 click n0 "../../../../../roadmap/fundamental-group/van-kampen/presentation-complex/index.html#presentation-complex-fundamental-group" "The presentation complex has the presented fundamental group — 1 item · 1 fully proved" click n1 "../../../../../roadmap/fundamental-group/van-kampen/presentation-complex/index.html#presentation-complex-cw-structure" "The presentation complex is an abstract two-dimensional CW complex — 1 item · 1 fully proved" class n2 focus click n2 "../../../../../roadmap/fundamental-group/van-kampen/presentation-complex/index.html#presentation-complex-realization" "Presented groups have two-dimensional presentation complexes — 1 item · 1 fully proved" click n3 "../../../../../roadmap/fundamental-group/van-kampen/index.html#every-group-fundamental-group" "Every group is a fundamental group — 1 item · 1 fully proved"