The finite-puncture class is the sum of the local classes: 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 proved2Proved, and every prerequisite is fully proved too.planned3Described in the blueprint only.

graph LR n0["The ordered sphere class orients local homology"]:::fully_proved n1("Finite-puncture projections have the diagonal matrix"):::planned n2("The finite-fiber pair map carries the global degree"):::fully_proved n3("The finite-puncture class is the sum of the local classes"):::planned n4("Degree is the sum of the local degrees"):::planned n3 --> n4 n1 --> n3 n2 --> n4 n2 --> n3 n0 --> n3 n0 --> n2 click n0 "../../../../../roadmap/homology/computations-and-applications/local-degree/index.html#sphere-local-orientation" "The ordered sphere class orients local homology — 1 item · 1 fully proved" click n1 "../../../../../roadmap/homology/computations-and-applications/local-degree/index.html#finite-puncture-projection-matrix" "Finite-puncture projections have the diagonal matrix — 1 item · 1 planned" click n2 "../../../../../roadmap/homology/computations-and-applications/local-degree/index.html#global-degree-fiber-square" "The finite-fiber pair map carries the global degree — 1 item · 1 fully proved" class n3 focus click n3 "../../../../../roadmap/homology/computations-and-applications/local-degree/index.html#finite-puncture-orientation-sum" "The finite-puncture class is the sum of the local classes — 1 item · 1 planned" click n4 "../../../../../roadmap/homology/computations-and-applications/local-degree/index.html#degree-local-sum-formula" "Degree is the sum of the local degrees — 1 item · 1 planned"