A wedge of circles is an indexed one-cell attachment: 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 proved6Proved, and every prerequisite is fully proved too.
graph LR
n0["An indexed cone attachment is a standard cell attachment"]:::fully_proved
n1["The pointed wedge of a family of spaces"]:::fully_proved
n2["Continuous maps out of a pointed wedge"]:::fully_proved
n3["Collapsing the boundary of a one-disk gives the circle"]:::fully_proved
n4["A wedge of circles is an indexed one-cell attachment"]:::fully_proved
n5["The presentation complex is an abstract two-dimensional CW complex"]:::fully_proved
n0 --> n4
n1 --> n2
n1 --> n4
n3 --> n4
n2 --> n4
n4 --> n5
click n0 "../../../../../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 n1 "../../../../../roadmap/fundamental-group/van-kampen/index.html#pointed-wedge" "The pointed wedge of a family of spaces — 1 item · 1 fully proved"
click n2 "../../../../../roadmap/fundamental-group/van-kampen/presentation-complex/index.html#pointed-wedge-universal-property" "Continuous maps out of a pointed wedge — 1 item · 1 fully proved"
click n3 "../../../../../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"
class n4 focus
click n4 "../../../../../roadmap/fundamental-group/van-kampen/presentation-complex/index.html#wedge-circles-one-skeleton" "A wedge of circles is an indexed one-cell attachment — 1 item · 1 fully proved"
click n5 "../../../../../roadmap/fundamental-group/van-kampen/presentation-complex/index.html#presentation-complex-cw-structure" "The presentation complex is an abstract two-dimensional CW complex — 1 item · 1 fully proved"