Odd spheres have a nonvanishing tangent field: 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["Tangent vector fields and normalization"]:::fully_proved n1["Odd spheres have a nonvanishing tangent field"]:::fully_proved n2("A sphere has a nonvanishing tangent field exactly in odd dimension"):::fully_proved n1 -.-> n2 n0 --> n2 n0 --> n1 click n0 "../../../../../roadmap/homology/computations-and-applications/degree/index.html#tangent-vector-field-data" "Tangent vector fields and normalization — 1 item · 1 fully proved" class n1 focus click n1 "../../../../../roadmap/homology/computations-and-applications/degree/index.html#odd-sphere-tangent-field" "Odd spheres have a nonvanishing tangent field — 1 item · 1 fully proved" click n2 "../../../../../roadmap/homology/computations-and-applications/degree/index.html#nonzero-tangent-field-iff-odd" "A sphere has a nonvanishing tangent field exactly in odd dimension — 1 item · 1 fully proved"