Extension of smooth functions in infinite dimensions II: manifolds

• Autorzy: C. J. Atkin
• Języki publikacji: EN

Abstrakty

EN

Let M be a separable $C^{∞}$ Finsler manifold of infinite dimension. Then it is proved, amongst other results, that under suitable conditions of local extensibility the germ of a $C^{∞}$ function, or of a $C^{∞}$ section of a vector bundle, on the union of a closed submanifold and a closed locally compact set in M, extends to a $C^{∞}$ function on the whole of M.

Kategorie tematyczne

• 46T20: Continuous and differentiable maps

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2002
• Tom: 150
• Numer: 3
• Strony: 215-241

Daty

wydano

2002

Twórcy

autor

C. J. Atkin

• School of Mathematical and Computing Sciences, Victoria University of Wellington, P.O. Box 600, Wellington, New Zealand

Identyfikatory

DOI

10.4064/sm150-3-2