The fundamental group of a wedge of circles: 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 proved6Proved, and every prerequisite is fully proved too.

graph LR n0("The fundamental group of the circle"):::fully_proved n1("The circle is well-pointed at one"):::fully_proved n2["The fundamental group of a wedge"]:::fully_proved n3["The fundamental group of a wedge of circles"]:::fully_proved n4["Free-group relators form a standard two-cell attachment"]:::fully_proved n5["The presentation complex has the presented fundamental group"]:::fully_proved n0 --> n3 n1 --> n3 n4 --> n5 n3 --> n5 n3 --> n4 n2 --> n3 click n0 "../../../../roadmap/fundamental-group/basic-constructions/index.html#fundamental-group-circle" "The fundamental group of the circle — 1 item · 1 fully proved" click n1 "../../../../roadmap/fundamental-group/van-kampen/cell-attachment-support/index.html#circle-well-pointed" "The circle is well-pointed at one — 1 item · 1 fully proved" click n2 "../../../../roadmap/fundamental-group/van-kampen/index.html#wedge-fundamental-group" "The fundamental group of a wedge — 1 item · 1 fully proved" class n3 focus click n3 "../../../../roadmap/fundamental-group/van-kampen/index.html#wedge-circles-free-group" "The fundamental group of a wedge of circles — 1 item · 1 fully proved" click n4 "../../../../roadmap/fundamental-group/van-kampen/presentation-complex/index.html#relator-cell-attachment" "Free-group relators form a standard two-cell attachment — 1 item · 1 fully proved" click n5 "../../../../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"