The auxiliary overlap has an indexed open cover: 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("Hatcher's binary cover of the strip enlargement"):::fully_proved n1("The auxiliary overlap has an indexed open cover"):::fully_proved n2["Each overlap piece has the homotopy type of its attaching sphere"]:::fully_proved n3("An open-cover model for attached cells"):::fully_proved n0 -.-> n3 n0 --> n1 n1 -.-> n3 n1 --> n2 n2 -.-> n3 click n0 "../../../../../../roadmap/fundamental-group/van-kampen/cell-attachment-support/auxiliary/index.html#auxiliary-cell-attachment-open-cover" "Hatcher's binary cover of the strip enlargement — 1 item · 1 fully proved" class n1 focus click n1 "../../../../../../roadmap/fundamental-group/van-kampen/cell-attachment-support/auxiliary/index.html#auxiliary-overlap-open-cover" "The auxiliary overlap has an indexed open cover — 1 item · 1 fully proved" click n2 "../../../../../../roadmap/fundamental-group/van-kampen/cell-attachment-support/auxiliary/index.html#auxiliary-overlap-piece-sphere" "Each overlap piece has the homotopy type of its attaching sphere — 1 item · 1 fully proved" click n3 "../../../../../../roadmap/fundamental-group/van-kampen/index.html#cell-attachment-cover-model" "An open-cover model for attached cells — 1 item · 1 fully proved"