A nonempty coproduct of pointed good pairs is good: 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["Strong deformation retracts"]:::fully_proved n1["Good pairs and neighborhood deformation retracts"]:::fully_proved n2["The coproduct pair of a family of pointed spaces"]:::fully_proved n3("A nonempty coproduct of pointed good pairs is good"):::fully_proved n4("Reduced homology of a wedge is the direct sum of the summands"):::fully_proved n3 --> n4 n2 --> n3 n1 --> n3 n0 --> n3 n0 --> n1 click n0 "../../../../../roadmap/homology/simplicial-and-singular/relative-homology/good-pair-quotient/index.html#strong-deformation-retract" "Strong deformation retracts — 1 item · 1 fully proved" click n1 "../../../../../roadmap/homology/simplicial-and-singular/relative-homology/good-pair-quotient/index.html#good-pair-data" "Good pairs and neighborhood deformation retracts — 1 item · 1 fully proved" click n2 "../../../../../roadmap/homology/computations-and-applications/post-excision-applications/index.html#sigma-pointed-pair" "The coproduct pair of a family of pointed spaces — 1 item · 1 fully proved" class n3 focus click n3 "../../../../../roadmap/homology/computations-and-applications/post-excision-applications/index.html#sigma-good-pair" "A nonempty coproduct of pointed good pairs is good — 1 item · 1 fully proved" click n4 "../../../../../roadmap/homology/computations-and-applications/post-excision-applications/index.html#wedge-reduced-homology" "Reduced homology of a wedge is the direct sum of the summands — 1 item · 1 fully proved"