The finite-fiber pair map acts by 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 proved3Proved, and every prerequisite is fully proved too.planned1Described in the blueprint only.

graph LR n0("The disjoint local pairs excise to the finite-puncture pair"):::fully_proved n1("Local degree is independent of its neighborhood"):::fully_proved 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 n0 --> n2 n1 --> n2 click n0 "../../../../../roadmap/homology/computations-and-applications/local-degree/index.html#finite-puncture-pair-excision" "The disjoint local pairs excise to the finite-puncture pair — 1 item · 1 fully proved" click n1 "../../../../../roadmap/homology/computations-and-applications/local-degree/index.html#local-degree-well-defined" "Local degree is independent of its neighborhood — 1 item · 1 fully proved" class n2 focus 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" 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"