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A relation between the type numbers of a critical point and the index of the corresponding field of gradient vectors. (English) Zbl 0044.31903

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[1] P. Alexandroff H. Hopf Topologie. Berlin 1935
[2] Brown, Relation between the critical points of a real analytic function of n independent variables, Amer. J. Math. 52 pp 251– (1930) · JFM 56.0239.02 · doi:10.2307/2370680
[3] Cairns, The triangulation problem and its role in analysis, Bull. Amer. math. Soc. 52 pp 545– (1946) · Zbl 0063.00685 · doi:10.1090/S0002-9904-1946-08610-3
[4] Morse, The Calculus of Variations in the Large 18 (1934) · JFM 60.0450.01 · doi:10.1090/coll/018
[5] Rothe, Critical points and gradient fields in Hilbert space, Acta math., Uppsala. · Zbl 0042.34403
[6] H. Seifert W. Threlfall Variationserechnung im Großen 1938
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