A closed ball strongly deformation retracts from Euclidean space: 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 proved3Proved, and every prerequisite is fully proved too.

graph LR n0("The ordinary neighborhood-retract Mayer–Vietoris sequence"):::fully_proved n1["A closed ball strongly deformation retracts from Euclidean space"]:::fully_proved n2["The hemispheres have compatible neighborhood deformation retractions"]:::fully_proved n1 -.-> n2 n0 --> n1 n0 --> 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#closed-ball-radial-deformation-retract" "A closed ball strongly deformation retracts from 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"