Degree is the sum of the local degrees: 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.planned2Described in the blueprint only.

graph LR n0("The finite-fiber pair map carries the global degree"):::fully_proved n1("The finite-puncture class is the sum of the local classes"):::planned n2("The finite-fiber pair map acts by the local degrees"):::fully_proved n3("Degree is the sum of the local degrees"):::planned n2 --> n3 n1 --> n3 n0 --> n3 n0 --> n1 click n0 "../../../../../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" click n1 "../../../../../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 n2 "../../../../../roadmap/homology/computations-and-applications/local-degree/index.html#finite-fiber-local-map" "The finite-fiber pair map acts by the local degrees — 1 item · 1 fully proved" class n3 focus click n3 "../../../../../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"