The 2-skeleton determines the fundamental group: 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("Compact subsets lie in a bounded skeleton"):::fully_proved
n1["Finite skeleta above dimension two have the same fundamental group"]:::fully_proved
n2["The 2-skeleton determines the fundamental group"]:::fully_proved
n0 -.-> n2
n1 -.-> n2
click n0 "../../../../roadmap/appendix/classical-cw-bridge/index.html#compact-subset-bounded-skeleton" "Compact subsets lie in a bounded skeleton — 1 item · 1 fully proved"
click n1 "../../../../roadmap/fundamental-group/van-kampen/index.html#finite-skeleton-fundamental-group" "Finite skeleta above dimension two have the same fundamental group — 1 item · 1 fully proved"
class n2 focus
click n2 "../../../../roadmap/fundamental-group/van-kampen/index.html#two-skeleton-fundamental-group" "The 2-skeleton determines the fundamental group — 1 item · 1 fully proved"