Invariants and classification of simple function germs with respect to Lipschitz A-equivalence

Journal of Singularities
volume 25 (2022), 348-360

Received: 28 January 2021. Received in revised form: 17 March 2021.

DOI: 10.5427/jsing.2022.25p

Add a reference to this article to your citeulike library.

Abstract:

In this note we discuss the classification of Lipschitz simple function germs. The full classification under Lipschitz right-equivalence has been established by M. Ruas and the authors. We consider Lipschitz left-right equivalence here and show that the classification for this equivalence coincides with the classification for Lipschitz right-equivalence.

Author(s) information:

Nhan Nguyen
FPT University
Danang, Vietnam
nguyenxuanvietnhan@gmail.com

Saurabh Trivedi
Indian Institute of Technology Goa, At GEC Campus
Farmagudi, Ponda 403401, Goa
India and Indian Statistical Institute North-East Centre
Punioni Solmara
Tezpur 784501, Assam, India
saurabh@iitgoa.ac.in