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RESEARCH PRODUCT
Left-Right Equivalence and Stability
Juan J. Nuño-ballesterosDavid Mondsubject
Pure mathematicsDeterminacyInfinitesimalTangent spaceEquivalence relationEquivalence (measure theory)Mathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-01-01 |