Correspondences of probability measures with restricted marginals

Authors

  • Aleksandr Savchenko Kherson State Agrarian University, Ukraine
  • Mykhailo Zarichnyi Lviv National University,

DOI:

https://doi.org/10.15673/2072-9812.4/2014.41441

Keywords:

Probability measure, product, bicommutative functor

Abstract

We derive the proof of continuity of the correspondence of probability measures with restricted marginals from the property of bicommutativity in the sense of E. Shchepin of probability measure functor.

Author Biographies

Aleksandr Savchenko, Kherson State Agrarian University

Department of Economics, Dean

Mykhailo Zarichnyi, Lviv National University

Department of Mechanics and Mathematics, Dean

References

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L.Q. Eifler, Some open mapping theorems for marginals, Trans. Amer. Math. Soc., 211 (1975), pp. 311--319.

R. Kozhan, Open-multicommutativity of some functors related to the functor of probability measures, preprint (arXiv:math/0409566).

R. Kozhan, M. Zarichnyi, Open-multicommutativity of the probability measure functor, preprint (arXiv:math/0409590).

K. Kuratowski, Topology, Vol. 1. - Academic Press, New York--London, 1996.

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E.V. Shchepin, Functors and uncountable powers of compacta,

Russian Mathematical Surveys, 1981, 36:3, 1--71.

M.M. Zarichnyi, Spaces and maps of idempotent measures, Izvestiya: Mathematics, 2010, 74:3, 481--499.

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Published

2015-04-20