
handle: 10077/4641 , 11583/2504348
In the present paper the canonical stratifìcation of G -manifolds and related orbit spaces by means of the notion of "orbit type" is described in detail, included the proof of Whitney regularity. The notion of stratifìcation by "normal orbit type" is considered in this frame as well, showing its relationship with the former one.
Nel presente lavoro viene esposta in dettaglio la stratificazione canonica per·"tipo di orbita" delle G -varietà e dei relativi spazi di orbite compresa la prova della regolarità nel senso di Whitney. In quest'ambito viene pure inserita la stratificazione per "tipo d'orbita normale", mostrandone la relazione con la precedente.
Compact Lie groups of differentiable transformations, smooth \(G\)-spaces, compact Lie group, orbit spaces, stratifications, Stratified sets
Compact Lie groups of differentiable transformations, smooth \(G\)-spaces, compact Lie group, orbit spaces, stratifications, Stratified sets
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