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Novikov S. P. Multivalued functions and functionals analogue of Morse theory. Dokl. AN SSSR, 1981, v.270, N 1, p. 31–35 (in Russ.).
Novikov S. P. Hamiltonian formalism and multivalued analogue of Morse theory. Russ. Math. Surveys, 1982, v.37, N 5, p. 3–49 (in Russ.).
Novikov S. P., Smeltzer I. Periodic solutions of the Kirchhof type equations for the free motion of the solid body in the liquid and the extended Lusternik-Schnirelman-Morse theory (L-Sch-M) I. Funkz. anal. i pril. 1981, v.15, N 3, p. 54–66 (in Russ.).
Smale S. On the structure of mainfolds. Amer. J. Math. 1962, v.84, p. 387–399.
Farber M. Sh. The exactness of Novikov inequalities. Funcz. anal. i pril. 1985, v.19, N 1, p. 49–59 (in Russ.).
Novikov S. P. Bloch homology. Critical points of functions and closed 1-forms. Dokl. AN SSSR, 1987, v.287, N 6, p. 1321–1324.
Pazhitnov A. V. An analytic proof of the real part of Novikov's inequalities. Dokl. AN SSSR 1987, v.293, N 6, p. 1305–1307.
Pazhitnov A. V. Proof of Novikov's coniecture on homology with local coefficients over a field of finite characteristic. Dokl. AN SSSR. 1988, v.300, N 6, p. 1316–1320.
Pazhitnov A. V. On the exactness of Novikov type inequalities for π1 M = Zm and Morse forms within the generic cohomology classes. Dokl. AN SSSR. 1989, v.306, N 4, p. 544–548.
Pazhitnov A. V. On the exactness of Novikov inequalities for the manifolds with free abelian fundamental group. Mat. Sbornik 1989, v.180, N 11, p. 1486–1523.
Witten E. Supersymmetry and Morse theory. Journal of differential geometry, 1982, v.17, p. 661–692.
Milnor J. W. Infinite cyclic coverings. In: Conference on the topology of Manifolds (edited by J.G. Hocking) Prindle Weber & Schmidt 1968, p. 115–133.
Kraines D. Higher order Massey products. Transactions of American mathematical society 1966, v.124, N 5, p. 431–439.
Bousfield A. K., Gugenheim V. K. A. M. On PL deRham theory and rational homotopy type. Memoirs of the American Mathematical Society, 1976, v.8, number 179.
Milnor J. W. Lectures on the h-cobordism theorem. Princeton 1965.
Sharko V. V. K-theory and Morse theory 1. Preprint Kiev Inst. of Math. AN SSSR 1986, N 86.39.
Browder W., Levine J. Fibering manifolds over a circle. Comment. Math. Helv. v.40, 1966, p. 153–160.
Farrell F. T. The obstruction to fibering a manifold over a circle. Indiana Univ. Math. Journ. 1971, v.21, N 4, p. 315–346.
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Pazhitnov, A.V. (1991). Morse theory of closed 1-forms. In: Jackowski, S., Oliver, B., Pawałowski, K. (eds) Algebraic Topology Poznań 1989. Lecture Notes in Mathematics, vol 1474. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084740
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DOI: https://doi.org/10.1007/BFb0084740
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