Restricting the quotient to a good-pair neighborhood: 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["Good pairs and neighborhood deformation retracts"]:::fully_proved
n1["Topology of the point-quotient projection"]:::fully_proved
n2("Restricting the quotient to a good-pair neighborhood"):::fully_proved
n3["The complementary excision diagram"]:::fully_proved
n4["The quotient neighborhood contracts to its point"]:::fully_proved
n5["Enlarging the quotient point preserves relative homology"]:::fully_proved
n0 --> n2
n2 --> n3
n2 --> n4
n2 --> n5
n4 -.-> n5
n1 --> n3
n1 --> n2
click n0 "../../../../../../roadmap/homology/simplicial-and-singular/relative-homology/good-pair-quotient/index.html#good-pair-data" "Good pairs and neighborhood deformation retracts — 1 item · 1 fully proved"
click n1 "../../../../../../roadmap/homology/simplicial-and-singular/relative-homology/good-pair-quotient/index.html#point-quotient-projection-topology" "Topology of the point-quotient projection — 1 item · 1 fully proved"
class n2 focus
click n2 "../../../../../../roadmap/homology/simplicial-and-singular/relative-homology/good-pair-quotient/index.html#good-pair-neighborhood-quotient" "Restricting the quotient to a good-pair neighborhood — 1 item · 1 fully proved"
click n3 "../../../../../../roadmap/homology/simplicial-and-singular/relative-homology/good-pair-quotient/index.html#good-pair-excision-diagram" "The complementary excision diagram — 1 item · 1 fully proved"
click n4 "../../../../../../roadmap/homology/simplicial-and-singular/relative-homology/good-pair-quotient/index.html#point-quotient-neighborhood-contraction" "The quotient neighborhood contracts to its point — 1 item · 1 fully proved"
click n5 "../../../../../../roadmap/homology/simplicial-and-singular/relative-homology/good-pair-quotient/index.html#point-quotient-neighborhood-relative-homology" "Enlarging the quotient point preserves relative homology — 1 item · 1 fully proved"