Classical skeleton inclusions are abstract cell attachments: 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 proved5Proved, and every prerequisite is fully proved too.

graph LR n0["Classical and standard cells have isomorphic attaching arrows"]:::fully_proved n1("A successor classical skeleton has the cell-attachment quotient topology"):::fully_proved n2["Classical skeleton inclusions are abstract cell attachments"]:::fully_proved n3("The 2-skeleton of a path-connected CW complex is path-connected"):::fully_proved n4["Finite skeleta above dimension two have the same fundamental group"]:::fully_proved n0 --> n1 n0 --> n2 n1 --> n2 n2 -.-> n3 n2 -.-> n4 n3 -.-> n4 click n0 "../../../roadmap/appendix/classical-cw-bridge/index.html#classical-cell-arrow-iso" "Classical and standard cells have isomorphic attaching arrows — 1 item · 1 fully proved" click n1 "../../../roadmap/appendix/classical-cw-bridge/index.html#successor-skeleton-quotient" "A successor classical skeleton has the cell-attachment quotient topology — 1 item · 1 fully proved" class n2 focus click n2 "../../../roadmap/appendix/index.html#classical-skeleton-cell-attachment" "Classical skeleton inclusions are abstract cell attachments — 1 item · 1 fully proved" click n3 "../../../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 n4 "../../../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"