• Medientyp: E-Artikel
  • Titel: Homotopy type of disentanglements of multi-germs
  • Beteiligte: HOUSTON, KEVIN
  • Erschienen: Cambridge University Press (CUP), 2009
  • Erschienen in: Mathematical Proceedings of the Cambridge Philosophical Society
  • Sprache: Englisch
  • DOI: 10.1017/s0305004109002540
  • ISSN: 1469-8064; 0305-0041
  • Schlagwörter: General Mathematics
  • Entstehung:
  • Anmerkungen:
  • Beschreibung: <jats:title>Abstract</jats:title><jats:p>For a complex analytic map <jats:italic>f</jats:italic> from <jats:italic>n</jats:italic>-space to <jats:italic>p</jats:italic>-space with <jats:italic>n</jats:italic> &lt; <jats:italic>p</jats:italic> and with an isolated instability at the origin, the disentanglement of <jats:italic>f</jats:italic> is a local stabilization of <jats:italic>f</jats:italic> that is analogous to the Milnor fibre for functions.</jats:p><jats:p>For mono-germs it is known that the disentanglement is a wedge of spheres of possibly varying dimensions. In this paper we give a condition that allows us to deduce that the same is true for a large class of multi-germs.</jats:p>