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

Dietmar Vogt

Banach Center Publications (2010)

  • Volume: 88, Issue: 1, page 315-321
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Dietmar Vogt. "Section spaces of real analytic vector bundles and a theorem of Grothendieck and Poly." Banach Center Publications 88.1 (2010): 315-321. <http://eudml.org/doc/281858>.

@article{DietmarVogt2010,
abstract = {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.},
author = {Dietmar Vogt},
journal = {Banach Center Publications},
keywords = {real analytic manifold; differential operator; Schauder basis; topological invariants},
language = {eng},
number = {1},
pages = {315-321},
title = {Section spaces of real analytic vector bundles and a theorem of Grothendieck and Poly},
url = {http://eudml.org/doc/281858},
volume = {88},
year = {2010},
}

TY - JOUR
AU - Dietmar Vogt
TI - Section spaces of real analytic vector bundles and a theorem of Grothendieck and Poly
JO - Banach Center Publications
PY - 2010
VL - 88
IS - 1
SP - 315
EP - 321
AB - 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.
LA - eng
KW - real analytic manifold; differential operator; Schauder basis; topological invariants
UR - http://eudml.org/doc/281858
ER -

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