Regular homotopy classes of singular maps

Andras Juhasz

doi:10.1112/s0024611504015102

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arXiv · math/0506566

Regular homotopy classes of singular maps

Andras Juhasz

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Abstract

Two locally generic maps f,g : M^n --> R^{2n-1} are regularly homotopic if they lie in the same path-component of the space of locally generic maps. Our main result is that if n is not 3 and M^n is a closed n-manifold then the regular homotopy class of every locally generic map f : M^n --> R^{2n-1} is completely determined by the number of its singular points provided that f is singular (i.e., f is not an immersion).

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BibTeX RIS

Andras Juhasz. 2005-06-28. Regular homotopy classes of singular maps. https://doi.org/10.1112/s0024611504015102

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