Section spaces of real analytic vector bundles and a theorem of Grothendieck and Poly

• Autorzy: Dietmar Vogt
• Języki publikacji: EN

Abstrakty

EN

The structure of the section space of a real analytic vector bundle on a real analytic manifold X is studied. This is used to improve a result of Grothendieck and Poly on the zero spaces of elliptic operators and to extend a result of Domański and the author on the non-existence of bases to the present case.

Kategorie tematyczne

• 46M20: Methods of algebraic topology (cohomology, sheaf and bundle theory, etc.)
• 32C05: Real-analytic manifolds, real-analytic spaces
• 46E10: Topological linear spaces of continuous, differentiable or analytic functions
• 46A63: Topological invariants ((DN), ( Ω ), etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2010
• Tom: 88
• Numer: 1
• Strony: 315-321

Daty

wydano

2010

Twórcy

autor

Dietmar Vogt

• FB Math.-Nat., Bergische Universität Wuppertal, Gauss-Str. 20, D-42097 Wuppertal, Germany

Identyfikatory

DOI

10.4064/bc88-0-25