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A QUICK TRIP THROUGH FIBRATION STRUCTURES

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Author(s):
do Espirito Santo, A. A. ; Dreibelbis, D. ; Ribeiro, M. F. ; Araujo dos Santos, R. N.
Total Authors: 4
Document type: Journal article
Source: JOURNAL OF SINGULARITIES; v. 22, p. 25-pg., 2020-01-01.
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. (AU)

FAPESP's process: 17/20455-3 - Singularities of semi-algebraic mappings
Grantee:Raimundo Nonato Araújo dos Santos
Support Opportunities: Regular Research Grants
FAPESP's process: 19/21181-0 - New frontiers in Singularity Theory
Grantee:Regilene Delazari dos Santos Oliveira
Support Opportunities: Research Projects - Thematic Grants