Relative excision reduces to the union subcomplex: 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

in mathlib1Upstreamed into Mathlib.fully proved2Proved, and every prerequisite is fully proved too.

graph LR n0["Relative homology of a simplicial-set pair"]:::mathlib n1("Relative excision reduces to the union subcomplex"):::fully_proved n2("The binary-cover excision chain map is a homotopy equivalence"):::fully_proved n0 --> n1 n1 -.-> n2 click n0 "../../../../../../roadmap/homology/simplicial-and-singular/relative-homology/index.html#simplicial-pair-relative-homology" "Relative homology of a simplicial-set pair — 1 item · 1 in mathlib" class n1 focus click n1 "../../../../../../roadmap/homology/simplicial-and-singular/relative-homology/small-chains-and-excision/index.html#relative-chain-union-devissage" "Relative excision reduces to the union subcomplex — 1 item · 1 fully proved" click n2 "../../../../../../roadmap/homology/simplicial-and-singular/relative-homology/small-chains-and-excision/index.html#binary-cover-excision-chain-equivalence" "The binary-cover excision chain map is a homotopy equivalence — 1 item · 1 fully proved"