6533b860fe1ef96bd12c3914

RESEARCH PRODUCT

The Cone Structure Theorem

Juan J. Nuño-ballesterosJoão Carlos Ferreira CostaErica Boizan Batista

subject

General Mathematics010102 general mathematics0502 economics and business05 social sciencesMathematical analysis050207 economics0101 mathematics01 natural sciencesCone (formal languages)MathematicsStructured program theorem

description

Made available in DSpace on 2022-05-01T11:54:27Z (GMT). No. of bitstreams: 0 Previous issue date: 2021-07-01 We consider the topological classification of finitely determined map germs f: (Rn, 0) → (Rp, 0) with f-1(0) = {0}. Associated with f we have a link diagram, which is well defined up to topological equivalence. We prove that f is topologically A-equivalent to the generalized cone of its link diagram. Centro de Ciências e Tecnologia Universidade Federal Do Cariri, 63048-080, Juazeiro do Norte Universidade Estadual Paulista (Unesp) Instituto de Biociências Letras e Ciências Exatas Campus de São José Do Rio Preto, 15054-000, São José do Rio Preto Departament de Matemàtiques Universitat de València Campus de Burjassot Universidade Estadual Paulista (Unesp) Instituto de Biociências Letras e Ciências Exatas Campus de São José Do Rio Preto, 15054-000, São José do Rio Preto

https://doi.org/10.1093/imrn/rnz374