Automorphisms of Cellular Divisions of 2-Sphere Induced by Functions with Isolated Critical Points

Author:

Kravchenko Anna, ,Maksymenko Sergiy,

Publisher

National Academy of Sciences of Ukraine (Co. LTD Ukrinformnauka)

Subject

Geometry and Topology,Mathematical Physics,Analysis

Reference39 articles.

1. [1] G.M. Adelson-Welsky and A.S. Kronrode, Sur les lignes de niveau des fonctionscontinues possédant des dérivées partielles, C. R. (Doklady) Acad. Sci. URSS (N.S.)49 (1945), 235-237 (French).

2. [2] E.B. Batista, J.C.F. Costa, and I.S. Meza-Sarmiento, Topological classification ofcircle-valued simple Morse-Bott functions, J. Singul. 17 (2018), 388-402. CrossRef

3. [3] A.V. Bolsinov and A.T. Fomenko, Introduction to the Topology of Integrable Hamiltonian Systems, Nauka, Moscow, 1997 (Russian).

4. [4] A.V. Bolsinov and A.T. Fomenko, Some actual unsolved problems in topology ofintegrable Hamiltonian systems, Topological Classification in Theory of HamiltonianSystems, Factorial, Moscow, 1999, 5-23.

5. [5] Yu. Brailov, Algebraic properties of symmetries of atoms, Topological Classificationin Theory of Hamiltonian Systems, Factorial, Moscow, 1999, 24-40.

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