Academic Journal

Good Real Perturbations of Simple Corank One Map Germs From R3 to R3.

Bibliographic Details
Title: Good Real Perturbations of Simple Corank One Map Germs From R3 to R3.
Authors: Miranda, A. J.1 (AUTHOR) aldicio@ufu.br, Saia, M. J.2 (AUTHOR), Souza, T. O.1 (AUTHOR)
Source: Mathematische Nachrichten. Oct2026, Vol. 299 Issue 10, p2805-2835. 31p.
Subject Terms: *Mathematical singularities, *Perturbation theory, *Differential geometry
Abstract: The existence of good real perturbations of map germs is one of the most interesting open questions in singularity theory. In this paper, we investigate this question for all simple corank one map germs from R3$\mathbb {R}^3$ to R3$\mathbb {R}^3$, we give a complete description of those that admit a good real perturbation. The main source of information to study these questions is obtained from the multiple point sets of these germs. [ABSTRACT FROM AUTHOR]
Database: Academic Search Index
Description
ISSN:0025584X
DOI:10.1002/mana.70216