A punctured sphere is 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 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("A nonsurjective sphere map has degree zero"):::fully_proved n3["The ordered sphere class orients local homology"]:::fully_proved n1 -.-> n2 n1 --> n3 n0 -.-> n1 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" class n1 focus 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/degree/index.html#nonsurjective-degree-zero" "A nonsurjective sphere map has degree zero — 1 item · 1 fully proved" click n3 "../../../../../roadmap/homology/computations-and-applications/local-degree/index.html#sphere-local-orientation" "The ordered sphere class orients local homology — 1 item · 1 fully proved"