Naturality of the good-pair quotient sequence: 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 proved5Proved, and every prerequisite is fully proved too.

graph LR n0("The reduced pair long exact sequence is natural"):::fully_proved n1("The pointed relative-to-reduced comparison is natural"):::fully_proved n2["The good-pair quotient comparison is natural"]:::fully_proved n3("The good-pair quotient exact sequence"):::fully_proved n4("Naturality of the good-pair quotient sequence"):::fully_proved n3 --> n4 n2 --> n3 n2 -.-> n4 n1 -.-> n4 n1 --> n2 n0 -.-> n4 n0 -.-> n1 click n0 "../../../../../../roadmap/homology/simplicial-and-singular/relative-homology/index.html#reduced-pair-long-exact-sequence-naturality" "The reduced pair long exact sequence is natural — 1 item · 1 fully proved" click n1 "../../../../../../roadmap/homology/simplicial-and-singular/relative-homology/good-pair-quotient/index.html#pointed-relative-reduced-homology-naturality" "The pointed relative-to-reduced comparison is natural — 1 item · 1 fully proved" click n2 "../../../../../../roadmap/homology/simplicial-and-singular/relative-homology/good-pair-quotient/index.html#good-pair-quotient-comparison-naturality" "The good-pair quotient comparison is natural — 1 item · 1 fully proved" click n3 "../../../../../../roadmap/homology/simplicial-and-singular/relative-homology/good-pair-quotient/index.html#good-pair-point-quotient-exact-sequence" "The good-pair quotient exact sequence — 1 item · 1 fully proved" class n4 focus click n4 "../../../../../../roadmap/homology/simplicial-and-singular/relative-homology/good-pair-quotient/index.html#good-pair-point-quotient-sequence-naturality" "Naturality of the good-pair quotient sequence — 1 item · 1 fully proved"