Stereographic models for hemispheres and the equator: 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. fully proved4Proved, and every prerequisite is fully proved too.
graph LR
n0["Stereographic models for hemispheres and the equator"]:::fully_proved
n1["A punctured sphere is Euclidean space"]:::fully_proved
n2["The hemispheres have compatible neighborhood deformation retractions"]:::fully_proved
n3("The reduced homology of spheres satisfies the suspension recurrence"):::fully_proved
n2 -.-> n3
n0 -.-> n1
n0 --> n2
n0 -.-> n3
class n0 focus
click n0 "../../../../../roadmap/homology/computations-and-applications/sphere-homology/index.html#sphere-hemisphere-stereographic-models" "Stereographic models for hemispheres and the equator — 1 item · 1 fully proved"
click n1 "../../../../../roadmap/homology/computations-and-applications/degree/index.html#punctured-sphere-stereographic" "A punctured sphere is 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/sphere-homology/index.html#sphere-reduced-homology-recurrence" "The reduced homology of spheres satisfies the suspension recurrence — 1 item · 1 fully proved"