Local degree is unchanged when the neighborhood shrinks: 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 proved3Proved, and every prerequisite is fully proved too.
graph LR
n0("Local degree on a chosen isolated neighborhood"):::fully_proved
n1("Local degree is unchanged when the neighborhood shrinks"):::fully_proved
n2("Local degree is independent of its neighborhood"):::fully_proved
n1 --> n2
n0 --> n1
click n0 "../../../../../roadmap/homology/computations-and-applications/local-degree/index.html#neighborhood-local-degree" "Local degree on a chosen isolated neighborhood — 1 item · 1 fully proved"
class n1 focus
click n1 "../../../../../roadmap/homology/computations-and-applications/local-degree/index.html#local-degree-shrinking" "Local degree is unchanged when the neighborhood shrinks — 1 item · 1 fully proved"
click n2 "../../../../../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"