A homotopy principle for maps with prescribed Thom-Boardman singularities

Details A homotopy principle for maps with prescribed Thom-Boardman singularities A homotopy principle for maps with prescribed Thom-Boardman singularities

2003-09-12

arxiv.org/abs/math/0309204v3

Published in Transaction of the American Mathematical Society, 359(2007), 489-515

Mathematics

Geometric Topology

The author added the description interpreting the homomorphism in (3.1) and revised several careless misprints

Scientific paper

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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