A sphere strongly deformation retracts from punctured Euclidean space: local context

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fully proved4Proved, and every prerequisite is fully proved too.

graph LR n0("The ordinary neighborhood-retract Mayer–Vietoris sequence"):::fully_proved n1["A sphere strongly deformation retracts from punctured Euclidean space"]:::fully_proved n2["The hemispheres have compatible neighborhood deformation retractions"]:::fully_proved n3("Local homology of positive-dimensional Euclidean space"):::fully_proved n0 --> n1 n0 --> n2 n1 -.-> n3 n1 -.-> n2 click n0 "../../../../../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" class n1 focus click n1 "../../../../../roadmap/homology/computations-and-applications/sphere-homology/index.html#punctured-space-radial-deformation-retract" "A sphere strongly deformation retracts from punctured Euclidean space — 1 item · 1 fully proved" click n2 "../../../../../roadmap/homology/computations-and-applications/sphere-homology/index.html#sphere-hemisphere-neighborhood-cover" "The hemispheres have compatible neighborhood deformation retractions — 1 item · 1 fully proved" click n3 "../../../../../roadmap/homology/computations-and-applications/local-homology-and-dimension/index.html#punctured-euclidean-local-homology" "Local homology of positive-dimensional Euclidean space — 1 item · 1 fully proved"