Bounded comparison: 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 proved1Proved, and every prerequisite is fully proved too.ready to state1Nothing it needs is blocked, so the statement can be written in Lean.planned7Described 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("Finite diagram chases"):::fully_proved
n7("Bounded comparison"):::planned
n8("Fixed sphere lattice"):::planned
n5 -.-> n7
n4 -.-> n7
n3 -.-> n7
n1 -.-> n7
n0 --> n4
n0 --> n3
n0 --> n1
n0 --> n7
n0 --> n2
n0 --> n8
n7 -.-> n8
n6 -.-> n7
n2 -.-> n7
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"
click n6 "../../../roadmap/sphere-lattice/index.html#finite-chases" "Finite diagram chases — 1 item · 1 fully proved"
class n7 focus
click n7 "../../../roadmap/sphere-lattice/index.html#bounded-comparison" "Bounded comparison — 1 item · 1 planned"
click n8 "../../../roadmap/sphere-lattice/index.html#sphere-lattice" "Fixed sphere lattice — 1 item · 1 planned"