The reduced neighborhood-retract Mayer–Vietoris sequence: 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 proved5Proved, and every prerequisite is fully proved too.

graph LR n0["A homotopy equivalence induces reduced-homology isomorphisms"]:::fully_proved n1("The ordinary neighborhood-retract Mayer–Vietoris sequence"):::fully_proved n2("The reduced binary-cover Mayer–Vietoris sequence"):::fully_proved n3("The reduced neighborhood-retract Mayer–Vietoris sequence"):::fully_proved n4("The reduced homology of spheres satisfies the suspension recurrence"):::fully_proved n2 --> n3 n0 -.-> n3 n1 --> n3 n3 -.-> n4 click n0 "../../../../../roadmap/homology/computations-and-applications/sphere-homology/index.html#homotopy-equivalence-reduced-homology-iso" "A homotopy equivalence induces reduced-homology isomorphisms — 1 item · 1 fully proved" click n1 "../../../../../roadmap/homology/computations-and-applications/sphere-homology/index.html#ordinary-neighborhood-mayer-vietoris" "The ordinary neighborhood-retract Mayer–Vietoris sequence — 1 item · 1 fully proved" click n2 "../../../../../roadmap/homology/computations-and-applications/mayer-vietoris/index.html#reduced-binary-cover-mayer-vietoris-sequence" "The reduced binary-cover Mayer–Vietoris sequence — 1 item · 1 fully proved" class n3 focus click n3 "../../../../../roadmap/homology/computations-and-applications/sphere-homology/index.html#reduced-neighborhood-mayer-vietoris" "The reduced neighborhood-retract Mayer–Vietoris sequence — 1 item · 1 fully proved" click n4 "../../../../../roadmap/homology/computations-and-applications/sphere-homology/index.html#sphere-reduced-homology-recurrence" "The reduced homology of spheres satisfies the suspension recurrence — 1 item · 1 fully proved"