Homotopic Properties of the Spaces of Smooth Functions on a 2-Torus

• Date: 2014
• Main Authors: Maksimenko, S. I., Feshchenko, B. G., Максименко, С. И., Фещенко, Б. Г.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2014
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2211
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Let f : T 2 → ℝ be a Morse function on a 2-torus, let S(f) and \( \mathcal{O} \) (f) be, respectively, its stabilizer and orbit with respect to the right action of the group \( \mathcal{D} \) (T 2) of diffeomorphisms of T 2, let \( \mathcal{D} \) id(T 2), be the identity path component of the gr...