Advertisement

Left-Right Equivalence and Stability

Chapter
  • 481 Downloads
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 357)

Abstract

We introduce the key equivalence relations on germs of maps, which play an important role throughout the book—right-equivalence and left-right equivalence (A-equivalence). These are induced by groups of diffeomorphisms, so equivalence classes have tangent spaces, and we calculate many examples, including some multi-germs. We introduce the notions of stability and finite determinacy, and prove Mather’s infinitesimal criterion for stability.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Mathematics InstituteUniversity of WarwickCoventryUK
  2. 2.Departament de MatemàtiquesUniversitat de ValènciaBurjassotSpain

Personalised recommendations