A standard simplex strongly deformation retracts onto its zero horn: local context

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This local map shows one dependency hop in either direction. The highlighted item is the current focus. What the colours mean

fully proved4Proved, and every prerequisite is fully proved too.

graph LR n0["The boundary and zero horn of a standard topological simplex"]:::fully_proved n1["Strong deformation retracts"]:::fully_proved n2["A standard simplex strongly deformation retracts onto its zero horn"]:::fully_proved n3("The identity simplex generates relative simplex homology"):::fully_proved n0 --> n3 n0 --> n2 n2 -.-> n3 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#strong-deformation-retract" "Strong deformation retracts — 1 item · 1 fully proved" class n2 focus click n2 "../../../../../roadmap/homology/computations-and-applications/post-excision-applications/index.html#standard-simplex-zero-horn-retraction" "A standard simplex strongly deformation retracts onto its zero horn — 1 item · 1 fully proved" click n3 "../../../../../roadmap/homology/computations-and-applications/post-excision-applications/index.html#relative-simplex-fundamental-class" "The identity simplex generates relative simplex homology — 1 item · 1 fully proved"