Manuscript XV-E@1 · XV-E.tex · section · a3dc45f5

Erratum to XV-D's coefficient proposition

Erratum to XV-D's coefficient proposition · lines 965–978

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XV-D, Section 6, Proposition prop:reduction, item (iii), states under hypothesis (H1) () that if XV-C's estimate fails for , , then (a) has no extension to , and (b) “the failure sequence of XV-C for is then a failure witness for the trace itself.” Clause (a) is correct under (H1). Clause (b) overstates: the normalized form of XV-C's witness is not preserved under multiplication by . The proposed XV-E plan suggested instead that (a) requires an invertibility hypothesis; that suggestion conflates (a) with its converse. The following proposition settles all directions.

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