A single cone attachment is a topological pushout: 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 proved4Proved, and every prerequisite is fully proved too.

graph LR n0("A single cone attachment has a two-set open cover"):::fully_proved n1("A single cone attachment is a topological pushout"):::fully_proved n2["A single cone attachment is a standard cell attachment"]:::fully_proved n3["The mapping cone of a topological pair"]:::fully_proved n0 --> n1 n0 --> n3 n1 --> n2 n1 -.-> n3 click n0 "../../../../../roadmap/fundamental-group/van-kampen/cell-attachment-support/index.html#single-cone-open-cover" "A single cone attachment has a two-set open cover — 1 item · 1 fully proved" class n1 focus click n1 "../../../../../roadmap/fundamental-group/van-kampen/cell-attachment-support/index.html#single-cone-pushout" "A single cone attachment is a topological pushout — 1 item · 1 fully proved" click n2 "../../../../../roadmap/fundamental-group/van-kampen/cell-attachment-support/index.html#single-basic-cell-attachment" "A single cone attachment is a standard cell attachment — 1 item · 1 fully proved" click n3 "../../../../../roadmap/homology/computations-and-applications/post-excision-applications/index.html#mapping-cone-model" "The mapping cone of a topological pair — 1 item · 1 fully proved"