A quick trip through fibration structures

Journal of Singularities
volume 22 (2020), 134-158

Received: 17 March 2019. Received in revised form: 23 September 2019.

DOI: 10.5427/jsing.2020.22i

Add a reference to this article to your citeulike library.

Abstract:

In this article we review the classical results about the existence of fibered structures for real and complex singularities in the local setting, commonly known in the literature as Milnor's fibration structures. After reviewing the classical studies, we describe some generalizations in two main directions, namely, the existence of open book structures on semi-algebraic manifolds, and the existence of the Milnor fibration in a stratified sense.

Author(s) information:

A. A. do Espirito Santo
UFRB, Universidade Federal do Recôncavo da Bahia
Centro de Ciências Exatas e Tecnológicas
Campus de Cruz das Almas
Rua Rui Barbosa, 710
Centro, CEP 44.380-000 - Cruz das Almas, Ba, Brazil
email: andrade@ufrb.edu.br

D. Dreibelbis
University of North Florida
Department of Mathematics and Statistics
1 UNF Drive
Jacksonville, FL 32224
email: ddreibel@unf.edu

M. F. Ribeiro
UFES, Universidade Federal do Espirito Santo
Av. Fernando Ferrari, 514 - Goiabeiras
CP 29.075-910 Vitória, Espirito Santo, Brazil
email: maico.ribeiro@ufes.br

R. N. Araújo dos Santos
ICMC, Universidade de São Paulo
Av. Trabalhador São-Carlense, 400
CP Box 668
13560-970 São Carlos, São Paulo, Brazil
email: raimundo.icmc@gmail.com
email: rnonato@icmc.usp.br