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Homotopy classification of a class of continuous mappings

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Literature cited

  1. M. A. Krasnosel'skii and P. P. Zabreiko, Geometric Methods of Nonlinear Analysis [in Russian], Nauka, Moscow (1975).

    Google Scholar 

  2. B. N. Sadovskii, “Limit of compact and contracting operators,” Usp. Mat. Nauk,27, No. 1, 81–146 (1972).

    Google Scholar 

  3. G. Hetzer, “Some remarks on operators and the coincidence degree for a Fredholm equation with noncompact nonlinear perturbation,” Ann. Soc. Sci. Bruxelles, Ser. 1,89, 497–508 (1975).

    Google Scholar 

  4. G. Hetzer, “On the existence of weak solutions for some quasilinear elliptic variational boundary value problems at resonance,” Comment. Math. Univ. Carolin.,17, 315–334 (1976).

    Google Scholar 

  5. A. S. Shvarts, “Homotopic topology of Banach spaces,” Dokl. Akad. Nauk SSSR,154, 61–63 (1964).

    Google Scholar 

  6. Yu. I. Sapronov, “Homotopy classification of contracting maps,” Tr. Mat. F-ta VGU, No. 6, Voronezh, 1972, 78–80.

    Google Scholar 

  7. J. Eells, “Fredholm structures,” Usp. Mat. Nauk,26, No. 6, 213–240 (1971).

    Google Scholar 

  8. Yu. G. Borisovich, V. G. Zvyagin, and Yu. I. Sapronov, “Nonlinear Fredholm maps and the Leray-Schauder theory,” Usp. Mat. Nauk,32, No. 4, 3–54 (1977).

    Google Scholar 

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Translated from Matematicheskie Zametki, Vol. 31, No. 5, pp. 801–812, May, 1982.

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Dmitrienko, V.T., Zvyagin, V.G. Homotopy classification of a class of continuous mappings. Mathematical Notes of the Academy of Sciences of the USSR 31, 404–410 (1982). https://doi.org/10.1007/BF01145721

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