Van Kampen's quotient isomorphism: 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 van Kampen cover map is surjective"):::fully_proved n1("Overlap relations vanish under the cover map"):::fully_proved n2("The kernel is generated by overlap relations"):::fully_proved n3["Van Kampen's quotient isomorphism"]:::fully_proved n4["Binary van Kampen is a group pushout"]:::fully_proved n5["The fundamental group of a wedge"]:::fully_proved n1 -.-> n2 n1 --> n3 n2 -.-> n3 n3 -.-> n4 n3 -.-> n5 n0 -.-> n3 click n0 "../../../../roadmap/fundamental-group/van-kampen/index.html#van-kampen-surjective" "The van Kampen cover map is surjective — 1 item · 1 fully proved" click n1 "../../../../roadmap/fundamental-group/van-kampen/index.html#cover-map-relations" "Overlap relations vanish under the cover map — 1 item · 1 fully proved" click n2 "../../../../roadmap/fundamental-group/van-kampen/index.html#van-kampen-kernel" "The kernel is generated by overlap relations — 1 item · 1 fully proved" class n3 focus click n3 "../../../../roadmap/fundamental-group/van-kampen/index.html#van-kampen-quotient" "Van Kampen's quotient isomorphism — 1 item · 1 fully proved" click n4 "../../../../roadmap/fundamental-group/van-kampen/index.html#binary-van-kampen-pushout" "Binary van Kampen is a group pushout — 1 item · 1 fully proved" click n5 "../../../../roadmap/fundamental-group/van-kampen/index.html#wedge-fundamental-group" "The fundamental group of a wedge — 1 item · 1 fully proved"