The quotient neighborhood contracts to its point: 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 proved3Proved, and every prerequisite is fully proved too.

graph LR n0("Restricting the quotient to a good-pair neighborhood"):::fully_proved n1["The quotient neighborhood contracts to its point"]:::fully_proved n2["Enlarging the quotient point preserves relative homology"]:::fully_proved n0 --> n1 n0 --> n2 n1 -.-> n2 click n0 "../../../../../../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" class n1 focus click n1 "../../../../../../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 n2 "../../../../../../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"