Disentanglements of maps from 2n-space to 3n-space

• Autores: Kevin Houston
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 218, Nº 1, 2005, págs. 115-138
• Idioma: inglés
• DOI: 10.2140/pjm.2005.218.115
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• Resumen

  • Abstract The ?rst disentanglement of a multigerm f : (C2n,S) ? (C3n,0) is shown to be homotopically equivalent to a wedge of (n + 1)-spheres and 2-spheres. For corank-1 monogerms in the same dimensions, the second disentanglement is shown to be homotopically equivalent to a wedge of n-spheres and circles.

    Good real perturbations of such maps are investigated and it is shown for multigerms in the case n = 1 with a good real perturbation that the real and complex disentanglements are homotopically equivalent.