Hatcher's binary cover of the strip enlargement: 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. fully proved7Proved, and every prerequisite is fully proved too.
graph LR
n0["The strip-enlarged cell-attachment space"]:::fully_proved
n1("Hatcher's binary cover of the strip enlargement"):::fully_proved
n2["The base-side auxiliary cover retracts onto the original space"]:::fully_proved
n3("The strip-connected upper cover is contractible"):::fully_proved
n4["The auxiliary cover basepoint transports to the original basepoint"]:::fully_proved
n5("The auxiliary overlap has an indexed open cover"):::fully_proved
n6("An open-cover model for attached cells"):::fully_proved
n2 -.-> n6
n2 --> n4
n1 -.-> n6
n1 --> n2
n1 --> n4
n1 --> n5
n1 --> n3
n0 --> n6
n0 --> n1
n4 -.-> n6
n5 -.-> n6
n3 -.-> n6
click n0 "../../../../../../roadmap/fundamental-group/van-kampen/cell-attachment-support/auxiliary/index.html#auxiliary-cell-attachment-space" "The strip-enlarged cell-attachment space — 1 item · 1 fully proved"
class n1 focus
click n1 "../../../../../../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"
click n2 "../../../../../../roadmap/fundamental-group/van-kampen/cell-attachment-support/auxiliary/index.html#auxiliary-base-cover-retract" "The base-side auxiliary cover retracts onto the original space — 1 item · 1 fully proved"
click n3 "../../../../../../roadmap/fundamental-group/van-kampen/cell-attachment-support/auxiliary/index.html#auxiliary-upper-cover-contractible" "The strip-connected upper cover is contractible — 1 item · 1 fully proved"
click n4 "../../../../../../roadmap/fundamental-group/van-kampen/cell-attachment-support/auxiliary/index.html#auxiliary-cover-basepoint-transport" "The auxiliary cover basepoint transports to the original basepoint — 1 item · 1 fully proved"
click n5 "../../../../../../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 n6 "../../../../../../roadmap/fundamental-group/van-kampen/index.html#cell-attachment-cover-model" "An open-cover model for attached cells — 1 item · 1 fully proved"