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Two-dimensional submanifolds of four-dimensional manifolds

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Literature Cited

  1. M. F. At'ya and I. M. Zinger, "Index of elliptical operators. III," Usp. Matem. Nauk,24, No. 1, 127–182 (1969).

    Google Scholar 

  2. E. Cartan and S. Eilenberg, Homological Algebra [Russian translation], IL, Moscow (1960).

    Google Scholar 

  3. M. A. Kervaire and J. W. Milnor, "On 2-spheres in 4-manifolds," Proc. Nat. Acad. Sci., USA,47, No. 10, 1651–1657 (1961).

    Google Scholar 

  4. W. S. Massey, "Proof of a conjecture of Whitney," Pacif. J. Math.,31, No. 1, 143–156 (1969).

    Google Scholar 

  5. V. A. Rokhlin, "New results in the theory of four-dimensional manifolds," Dokl. Akad. Nauk SSSR,84, No. 2, 221–224 (1952).

    Google Scholar 

  6. V. A. Rokhlin, "On normal Euler numbers of the projective plane and the Klein bottle in four-dimensional Euclidean space," Dokl. Akad. Nauk SSSR, 191, No. 1, 27–29 (1970).

    Google Scholar 

  7. Seminar on Transformation Groups, Ann. Math. Studies No. 46, Princeton (1960).

  8. A. G. Tristram, "Some cobordism invariants for links," Proc. Camb. Phil. Soc.,66, 251–264 (1969).

    Google Scholar 

  9. H. Whitney, "On the topology of differentiable manifolds," Univ. of Michigan Lectures, 101–141 (1941).

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Leningrad State University. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 5, No. 1, pp. 48–60, January–March, 1971.

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Rokhlin, V.A. Two-dimensional submanifolds of four-dimensional manifolds. Funct Anal Its Appl 5, 39–48 (1971). https://doi.org/10.1007/BF01075846

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