Displaying similar documents to “Section spaces of real analytic vector bundles and a theorem of Grothendieck and Poly”

A note on composition operators on spaces of real analytic functions

Paweł Domański, Michał Goliński, Michael Langenbruch (2012)

Annales Polonici Mathematici

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We characterize composition operators on spaces of real analytic functions which are open onto their images. We give an example of a semiproper map φ such that the associated composition operator is not open onto its image.

K-analytic versus ccm-analytic sets in nonstandard compact complex manifolds

Rahim Moosa, Sergei Starchenko (2008)

Fundamenta Mathematicae

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It is shown that in an elementary extension of a compact complex manifold M, the K-analytic sets (where K is the algebraic closure of the underlying real closed field) agree with the ccm-analytic sets if and only if M is essentially saturated. In particular, this is the case for compact Kähler manifolds.