43 citations · 149 across the 14 of their papers we have counts for
6 papers · 1 filter
Tameness conditions and the Milnor fibrations for composite singularities
R. N. Araújo dos Santos, D. Dreibelbis, M. F. Ribeiro +1
In this paper, we introduce a new regularity condition that characterizes the tameness of a composite singularity in a sharp way. Our approach provides a natural tool…
Fibrations of highly singular map germs
Maico F. Ribeiro, Raimundo N. Araújo dos Santos, Mihai Tibăr
We define local fibration structures for real map germs with strictly positive dimensional discriminant: a local fibration structure over the complement of the discriminant, and a…
Fibrations structure and degree formulae for Milnor fibers
Nicolas Dutertre, Raimundo N. Araújo Dos Santos, Ying Chen +1
In this survey, we remind some fibrations structure theorems (also called Milnor's fibrations) recently proved in the real and complex case, in the local and global settings. We gi…
Open book structures on semi-algebraic manifolds
Nicolas Dutertre, Raimundo N. Araújo Dos Santos, Ying Chen +1
Given a semi-algebraic mapping we consider its restriction to an embedded closed semi-algebraic…
Singular open book structures from real mappings
Mihai Tibar, Ying Chen, Raimundo N. Araújo dos Santos
We prove extensions of Milnor's theorem for germs with nonisolated singularity and use them to find new classes of genuine real analytic mappings with positive dimensional sing…
Real map germs and higher open books
Raimundo Araújo dos Santos, Mihai Tibăr
We present a general criterion for the existence of open book structures defined by real map germs $(\bR^m, 0) \to (\bR^p, 0)$, where , with isolated critical point. We…