The cone on a disk boundary is the disk: 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 proved5Proved, and every prerequisite is fully proved too.

graph LR n0("A single cone attachment has a two-set open cover"):::fully_proved n1["The cone on a disk boundary is the disk"]:::fully_proved n2["An indexed cone attachment is a standard cell attachment"]:::fully_proved n3["A single cone attachment is a standard cell attachment"]:::fully_proved n4["Collapsing the boundary of a one-disk gives the circle"]:::fully_proved n1 --> n2 n1 --> n3 n1 --> n4 n0 --> n1 n0 --> n4 click n0 "../../../../../roadmap/fundamental-group/van-kampen/cell-attachment-support/index.html#single-cone-open-cover" "A single cone attachment has a two-set open cover — 1 item · 1 fully proved" class n1 focus click n1 "../../../../../roadmap/fundamental-group/van-kampen/cell-attachment-support/index.html#cone-disk-homeomorphism" "The cone on a disk boundary is the disk — 1 item · 1 fully proved" click n2 "../../../../../roadmap/fundamental-group/van-kampen/cell-attachment-support/index.html#indexed-basic-cell-attachment" "An indexed cone attachment is a standard cell attachment — 1 item · 1 fully proved" click n3 "../../../../../roadmap/fundamental-group/van-kampen/cell-attachment-support/index.html#single-basic-cell-attachment" "A single cone attachment is a standard cell attachment — 1 item · 1 fully proved" click n4 "../../../../../roadmap/fundamental-group/van-kampen/presentation-complex/index.html#circle-one-cell-quotient" "Collapsing the boundary of a one-disk gives the circle — 1 item · 1 fully proved"