Compact subsets lie in a bounded skeleton: 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 proved4Proved, and every prerequisite is fully proved too.

graph LR n0("Compact subsets lie in finite subcomplexes"):::fully_proved n1("Compact subsets lie in a bounded skeleton"):::fully_proved n2("The 2-skeleton of a path-connected CW complex is path-connected"):::fully_proved n3["The 2-skeleton determines the fundamental group"]:::fully_proved n1 -.-> n2 n1 -.-> n3 n0 -.-> n1 click n0 "../../../../roadmap/appendix/index.html#compact-subspace-finite-subcomplex" "Compact subsets lie in finite subcomplexes — 1 item · 1 fully proved" class n1 focus click n1 "../../../../roadmap/appendix/classical-cw-bridge/index.html#compact-subset-bounded-skeleton" "Compact subsets lie in a bounded skeleton — 1 item · 1 fully proved" click n2 "../../../../roadmap/fundamental-group/van-kampen/cell-attachment-support/index.html#path-connected-two-skeleton" "The 2-skeleton of a path-connected CW complex is path-connected — 1 item · 1 fully proved" click n3 "../../../../roadmap/fundamental-group/van-kampen/index.html#two-skeleton-fundamental-group" "The 2-skeleton determines the fundamental group — 1 item · 1 fully proved"