6533b832fe1ef96bd129aba7

RESEARCH PRODUCT

Double points in families of map germs from ℝ2 to ℝ3

J. J. Nuño-ballesterosJ. A. Moya-pérez

subject

Pure mathematicsDouble pointComputer Science::Information Retrieval010102 general mathematicsTopological classificationAstrophysics::Instrumentation and Methods for AstrophysicsComputer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)01 natural sciencesInstability010101 applied mathematicsComputer Science::General LiteratureGeometry and Topology0101 mathematicsAnalysisMathematics

description

We show that a 1-parameter family of real analytic map germs [Formula: see text] with isolated instability is topologically trivial if it is excellent and the family of double point curves [Formula: see text] in [Formula: see text] is topologically trivial. In particular, we deduce that [Formula: see text] is topologically trivial when the Milnor number [Formula: see text] is constant.

yearjournalcountryeditionlanguage
2020-01-28Journal of Topology and Analysis
https://doi.org/10.1142/s1793525320500430