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Nonstandard convergences in spaces of mappings

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References

  1. C. Puritz, “Quasimonad spaces: a nonstandard approach to convergence,” Proc. London Math. Soc.,32, 230–250 (1976).

    Google Scholar 

  2. V. A. Molchanov, “On application of the theory of binary relations to topology,” in: Semigroup Theory and Its Applications. Applications of Algebraic Methods [in Russian], Saratov. Univ., Saratov, 1987, pp. 46–59.

    Google Scholar 

  3. V. A. Molchanov, “On classification of mappings for convergence spaces,” in: Abstracts. Third All-Union Conference on Nonstandard Analysis [in Russian], Saratov, 1990, pp. 30–35.

  4. W. A. J. Luxemburg, “A general theory of monads,” in: Application of Model Theory to Algebra, Analysis, and Probability, New York, 1966, pp. 18–86.

  5. S. Albeverio et al., Nonstandard Methods in Stochastic Analysis and Mathematical Physics [Russian translation], Mir, Moscow (1990).

    Google Scholar 

  6. J. L. Kelley, General Topology [Russian translation], Nauka, Moscow (1981).

    Google Scholar 

  7. H. R. Fischer, “Limesräume,” Math. Ann.,137, 269–303 (1959).

    Google Scholar 

  8. V. A. Molchanov, “The use of double nonstandard enlargements in topology,” Sibirsk. Mat. Zh.,30, No. 3, 64–71 (1989).

    Google Scholar 

  9. S. S. Kutateladze, Monads in General Topology [in Russian], Novosibirsk. Univ., Novosibirsk (1968).

    Google Scholar 

  10. V. A. Molchanov, “Regular convergence spaces,” in: Semigroup Theory and Its Applications. Problems of Axiomatization [in Russian], Saratov. Univ., Saratov, 1988, pp. 41–49.

    Google Scholar 

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Authors
  1. V. A. Molchanov
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Additional information

Saratov. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 33, No. 6, pp. 141–153, November–December, 1992.

Translated by A. E. Gutman

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Molchanov, V.A. Nonstandard convergences in spaces of mappings. Sib Math J 33, 1076–1086 (1992). https://doi.org/10.1007/BF00971030

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  • DOI: https://doi.org/10.1007/BF00971030

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