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CLASSIFICATION OF CERTAIN HIGHER-DIMENSIONAL KNOTS OF CODIMENSION TWO

1980
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Russian Mathematical Surveys
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An «-dimensional knot is a pair (S n + 2 , k") consisting of an oriented sphere S" + 2 and a smooth closed oriented submanifold k that is homotopyequivalent to an «-dimensional sphere. Two «-dimensional knots (S n + 2 , k v ) (y = 1 or 2) are equivalent (or of the same isotopy type) if there is an orientation-preserving isotopy of S n + 2 taking k x to k 2 . In this lecture we consider the problem of describing the set of isotopy types of «-dimensional knots. We use terminology of differential

doi:10.1070/rm1980v035n03abeh001823
fatcat:dgdzvapbhrcz5gh2x3yx3hzphu