A local homeomorphism has local degree plus or minus one: 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.ready to state1Prerequisites are stated, so this can be written down.

graph LR n0("The formal properties of degree"):::fully_proved n1("Local degree is independent of its neighborhood"):::fully_proved n2("A local homeomorphism has local degree plus or minus one"):::can_state n0 --> n2 n1 --> n2 click n0 "../../../../../roadmap/homology/computations-and-applications/degree/index.html#basic-degree-properties" "The formal properties of degree — 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#homeomorphism-local-degree" "A local homeomorphism has local degree plus or minus one — 1 item · 1 ready to state"