A homotopy principle for maps with prescribed Thom-Boardman singularities

Yoshifumi Ando

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A homotopy principle for maps with prescribed Thom-Boardman singularities

Yoshifumi Ando

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Abstract

Let N and P be smooth manifolds of dimensions n and p (n>=p>=2). Let Omega^{I}(N,P) denote an open subspace of J(N,P) which consists of all Boardman submanifolds Sigma^{J}(N,P) with J=< I in the lexicographic order. We will prove the homotopy principle in the existence level for Omega^{I}(N,P).

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Yoshifumi Ando. 2004-06-04. A homotopy principle for maps with prescribed Thom-Boardman singularities. https://arxiv.org/abs/math/0309204

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