On codimension two and one splitting (Q675237)

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scientific article; zbMATH DE number 988057
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On codimension two and one splitting
scientific article; zbMATH DE number 988057

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    On codimension two and one splitting (English)
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    5 November 1997
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    According to Cappell and Shaneson, very often the secondary surgery obstruction \(O_2\) to codimension two splitting is zero, but examples with \(O_2\neq 0\) exist. By considering homotopy equivalences with codomain the total space of a two disk bundle, the autor produces many examples with \(O_2\neq 0\) and other examples with \(O_2=0\). The approach is to compare codimension two splittings with codimension one splittings.
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    secondary surgery obstruction
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    codimension two splitting
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