Sard’s theorem for mappings between Fréchet manifolds

• Datum: 2010
• Hauptverfasser: Eftekharinasab, К., Ефтехарінасаб, К.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2010
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2988
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We prove an infinite-dimensional version of Sard’s theorem for Fréchet manifolds. Let $M$ (respectively, $N$) be a bounded Fréchet manifold with compatible metric $d_M$ (respectively, $d_N$ ) modeled on Fréchet spaces $E$ (respectively, $F$) with standard metrics. Let $f : M → N$ be an $MC^k$ -Lipsc...