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- W2070913229 abstract "Let i : M ↬ℝ n +1 be a self-transverse immersion of a compact closed smooth n -dimensional manifold in ( n + 1)-dimensional Euclidean space. A point of ℝ n +1 is an r-fold intersection point of the immersion if it is the image under i of (at least) r distinct points of the manifold. The self-transversality of i implies that the set of r -fold intersection points is the image of an immersion of a manifold of dimension n +1- r (the empty set if r > n + 1). In particular, the set of ( n + l)-fold intersection points is finite of order, say, θ( i ). In this paper we are concerned with the set of values of θ( i ) for (self-transverse) immersions of all (compact closed smooth) manifolds of given dimension n ." @default.
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- W2070913229 date "1981-11-01" @default.
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- W2070913229 title "Codimension one immersions and the Kervaire invariant one problem" @default.
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- W2070913229 doi "https://doi.org/10.1017/s0305004100058941" @default.
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