Every fundamental-group element has a based disk-boundary representative: 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 proved3Proved, and every prerequisite is fully proved too.

graph LR n0["The boundary of the two-disk is the circle"]:::fully_proved n1["Every fundamental-group element has a based disk-boundary representative"]:::fully_proved n2["Free-group relators form a standard two-cell attachment"]:::fully_proved n0 --> n1 n1 --> n2 click n0 "../../../../../roadmap/fundamental-group/van-kampen/cell-attachment-support/index.html#disk-boundary-two-circle" "The boundary of the two-disk is the circle — 1 item · 1 fully proved" class n1 focus click n1 "../../../../../roadmap/fundamental-group/van-kampen/presentation-complex/index.html#disk-boundary-fundamental-group-representative" "Every fundamental-group element has a based disk-boundary representative — 1 item · 1 fully proved" click n2 "../../../../../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"