The zero face identifies the two simplex point quotients: 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 boundary and zero horn of a standard topological simplex"]:::fully_proved n1["Functorial point quotients of topological pairs"]:::fully_proved n2["The zero face identifies the two simplex point quotients"]:::fully_proved n3("The zero face induces an isomorphism in relative homology"):::fully_proved n4("The first simplex computes homology relative to the second"):::fully_proved n0 --> n2 n0 --> n3 n2 -.-> n4 n2 -.-> n3 n3 -.-> n4 n1 --> n2 click n0 "../../../../../roadmap/homology/computations-and-applications/post-excision-applications/index.html#standard-simplex-boundary-horn" "The boundary and zero horn of a standard topological simplex — 1 item · 1 fully proved" click n1 "../../../../../roadmap/homology/simplicial-and-singular/relative-homology/good-pair-quotient/index.html#point-quotient-functor" "Functorial point quotients of topological pairs — 1 item · 1 fully proved" class n2 focus click n2 "../../../../../roadmap/homology/computations-and-applications/post-excision-applications/index.html#standard-simplex-zero-face-point-quotient" "The zero face identifies the two simplex point quotients — 1 item · 1 fully proved" click n3 "../../../../../roadmap/homology/computations-and-applications/post-excision-applications/index.html#standard-simplex-zero-face-relative-homology" "The zero face induces an isomorphism in relative homology — 1 item · 1 fully proved" click n4 "../../../../../roadmap/homology/computations-and-applications/post-excision-applications/index.html#double-simplex-relative-comparison" "The first simplex computes homology relative to the second — 1 item · 1 fully proved"