The coproduct of a family of topological pairs: 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 proved3Proved, and every prerequisite is fully proved too.ready to state1Prerequisites are stated, so this can be written down.
graph LR
n0["The coproduct pair of a family of pointed spaces"]:::fully_proved
n1["The coproduct of a family of topological pairs"]:::fully_proved
n2["Relative chains commute with coproducts of arbitrary pairs"]:::can_state
n3["Disjoint punctured neighborhoods form the deleted union pair"]:::fully_proved
n1 --> n3
n1 --> n2
n0 --> n1
click n0 "../../../../../roadmap/homology/computations-and-applications/post-excision-applications/index.html#sigma-pointed-pair" "The coproduct pair of a family of pointed spaces — 1 item · 1 fully proved"
class n1 focus
click n1 "../../../../../roadmap/homology/computations-and-applications/local-degree/index.html#sigma-topological-pair" "The coproduct of a family of topological pairs — 1 item · 1 fully proved"
click n2 "../../../../../roadmap/homology/computations-and-applications/local-degree/index.html#relative-chains-sigma-pair" "Relative chains commute with coproducts of arbitrary pairs — 1 item · 1 ready to state"
click n3 "../../../../../roadmap/homology/computations-and-applications/local-degree/index.html#disjoint-punctured-pair-iso" "Disjoint punctured neighborhoods form the deleted union pair — 1 item · 1 fully proved"