Rational sphere calculation: 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.

ready to state1Nothing it needs is blocked, so the statement can be written in Lean.planned8Described in the blueprint only.

graph LR n0["Test categories"]:::planned n1("Homotopy invariance"):::planned n2("Point groups"):::planned n3("Witt localization"):::planned n4("Open cover dense inclusion"):::planned n5("Dense doubling"):::can_state n6("Rational sphere calculation"):::planned n7("Signature on a finite relation"):::planned n8("Fixed sphere lattice"):::planned n5 -.-> n6 n4 -.-> n6 n3 -.-> n6 n1 -.-> n6 n0 --> n4 n0 --> n3 n0 --> n1 n0 --> n7 n0 --> n2 n0 --> n8 n0 --> n6 n7 -.-> n8 n2 -.-> n6 n6 -.-> n7 n6 -.-> n8 click n0 "../../../roadmap/sheaf-categories/index.html#test-categories" "Test categories — 1 item · 1 planned" click n1 "../../../roadmap/sheaf-categories/index.html#homotopy-invariance" "Homotopy invariance — 1 item · 1 planned" click n2 "../../../roadmap/sphere-lattice/index.html#point-groups" "Point groups — 1 item · 1 planned" click n3 "../../../roadmap/localization/index.html#witt-localization" "Witt localization — 1 item · 1 planned" click n4 "../../../roadmap/localization/index.html#open-cover" "Open cover dense inclusion — 1 item · 1 planned" click n5 "../../../roadmap/localization/index.html#dense-doubling" "Dense doubling — 1 item · 1 ready to state" class n6 focus click n6 "../../../roadmap/sphere-lattice/index.html#sphere-rank" "Rational sphere calculation — 1 item · 1 planned" click n7 "../../../roadmap/sphere-lattice/index.html#generic-signature" "Signature on a finite relation — 1 item · 1 planned" click n8 "../../../roadmap/sphere-lattice/index.html#sphere-lattice" "Fixed sphere lattice — 1 item · 1 planned"