The degree-n circle map sends the generator to the degree-n loop: 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.

graph LR n0("The fundamental group of the circle"):::fully_proved n1("The degree-n circle map sends the generator to the degree-n loop"):::fully_proved n2["The cyclic presentation complex"]:::fully_proved n0 --> n1 n1 --> n2 click n0 "../../../../../roadmap/fundamental-group/basic-constructions/index.html#fundamental-group-circle" "The fundamental group of the circle — 1 item · 1 fully proved" class n1 focus click n1 "../../../../../roadmap/fundamental-group/van-kampen/cell-attachment-support/index.html#circle-degree-map" "The degree-n circle map sends the generator to the degree-n loop — 1 item · 1 fully proved" click n2 "../../../../../roadmap/fundamental-group/van-kampen/presentation-complex/index.html#cyclic-presentation-complex" "The cyclic presentation complex — 1 item · 1 fully proved"