A regular neighborhood strongly deformation retracts onto its subcomplex: 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["Strong deformation retracts"]:::fully_proved n1["A common regular-neighborhood system for subcomplexes"]:::fully_proved n2["A regular neighborhood strongly deformation retracts onto its subcomplex"]:::fully_proved n3("Subcomplex decompositions admit compatible neighborhoods"):::fully_proved n2 --> n3 n1 --> n2 n1 --> n3 n0 --> n2 click n0 "../../../../../../roadmap/homology/simplicial-and-singular/relative-homology/good-pair-quotient/index.html#strong-deformation-retract" "Strong deformation retracts — 1 item · 1 fully proved" click n1 "../../../../../../roadmap/homology/computations-and-applications/post-excision-applications/cw-subcomplex-neighborhood/index.html#regular-neighborhood-system" "A common regular-neighborhood system for subcomplexes — 1 item · 1 fully proved" class n2 focus click n2 "../../../../../../roadmap/homology/computations-and-applications/post-excision-applications/cw-subcomplex-neighborhood/index.html#regular-neighborhood-strong-deformation-retract" "A regular neighborhood strongly deformation retracts onto its subcomplex — 1 item · 1 fully proved" click n3 "../../../../../../roadmap/homology/computations-and-applications/post-excision-applications/cw-subcomplex-neighborhood/index.html#subcomplex-neighborhood-cover" "Subcomplex decompositions admit compatible neighborhoods — 1 item · 1 fully proved"