Topological classification of trigonometric polynomials and combinatorics of graphs with an equal number of vertices and edges

Functional Analysis and its Applications

Volumn 30, Issue 1, 1996, Pages 1-14

  Arnold, V I ^a,b  

^a STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

^b UNIVERSITÉ PARIS DAUPHINE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009379690     PISSN: 00162663     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02509551     Document Type: Article

References (18)

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8. μ singularities, Adv. Sov. Math., Singularities and Bifurcations (V. I. Arnold ed.), Vol. 21 (1994), pp. 163-188.
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12. M. E. Kazaryan, "Nonlinear version of Arnold's theorem on flattening points," C. R. Acad. Sci. Paris (1996).
13. M. E. Kazaryan, "Relative Morse theory of one-dimensional fiberings and cyclic homology," Funkts. Anal. Prilozhen., 30 (1996) (to appear).
14. V. I. Arnold, "Springer numbers and Morsification spaces," J. Alg. Geom., 1, No. 2, 197-214 (1992).
15. V. I. Arnold, "Bernoulli-Euler updown numbers associated with function singularities, their combinatorics and arithmetics," Duke Math. J., 63, No. 2, 537-555 (1991).
16. V. I. Arnold, "Snake calculus and the combinatorics of the Bernoulli, Euler and Springer numbers of Coxeter groups and morsification spaces," Usp. Mat. Nauk, 47, No. 1 (283), 3-45 (1992).
17. V. I. Arnold, "Topological problems in wave propagation theory," Usp. Mat. Nauk, 51, No. 1, 1-47 (1996).
18. V. I. Arnold, "Topological classification of real trigonometric polynomials and cyclic serpents polyhedron," Arnold and Gelfand Seminars, Birkhäuser (1996) [added in the translation].