Errata to equivalence of Milnor and Milnor–Lê fibrations for real analytic maps

Author:

Cisneros-Molina José Luis1,Menegon Aurélio2

Affiliation:

1. Instituto de Matemáticas, Unidad Cuernavaca, Universidad Nacional Autónoma de México, Avenida Universidad s/n, Colonia Lomas de Chamilpa, Cuernavaca, Morelos, Mexico

2. Universidade Federal da Paraíba, Departamento de Matemática, CEP 58051-900, Jo ao Pessoa - PB, Brazil

Abstract

In the proof of Theorem 3.7 of the original paper Internat. J. Math. 30(14) (2019) 1950078, 1–25, two inequalities are used that do not hold in general. In this note, we prove an extra propositions which allows us to give a proof of Theorem 3.7 without using the aforementioned inequalities. Hence, all the results in the original paper are valid. We have also posted a corrected version in the arXiv.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Milnor fibration theorem for differentiable maps;Research in the Mathematical Sciences;2024-03-05

2. Fibration theorems à la Milnor for analytic maps with non-isolated singularities;São Paulo Journal of Mathematical Sciences;2023-08-03

3. Harmonic morphisms and their Milnor fibrations;Annali di Matematica Pura ed Applicata (1923 -);2023-02-13

4. Milnor’s Fibration Theorem for Real and Complex Singularities;Handbook of Geometry and Topology of Singularities II;2021

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