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Theorems on Selectors in Topological Spaces I

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Transactions of the Ninth Prague Conference

Part of the book series: Czechoslovak Academy of Sciences ((TPCI,volume 9A))

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Abstract

Theorems similar to the theorem of Kuratowski and Ryll-Nardzewski on the existence of measurable selectors are presented. Various concepts of completness of topological spaces and various concepts of measurability of multifunctions are examined.

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References

  • Engelking R. (1977): General Topology, PWN - Polish Scientific Publishers, Warszawa.

    MATH  Google Scholar 

  • Himmelberg C.J. (1975): Measurable relations, Fund. Math. 87, 53–72.

    MathSciNet  MATH  Google Scholar 

  • Idzik A. (1978): On equivalent definitions of the measurability of multifunctions and Filippov’s lemma (in Polish), Roczniki PTM, Seria III: Matematyka Stosowana 14,65–72.

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  • Idzik A. (1981): Theorems on selectors of measurable multifunctions, Bill. Acad. Polon. Sci. Sér. Sci. Math.,No. 11–12, 597–603.

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  • Kuratowski K. (1966): Topology, Vol. I, Academic Press, New York-London; PWN, Warszawa.

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  • Kuratowski K. and C. Ryll-Nardzewski (1965): A general theorem on selectors, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 13, 397–403.

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  • Wagner D.H. (1977): Survey of measurable selection theorems, SIAM J. Control and Optimization 15, 859–903.

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  • Wagner D.H (1980): Survey of measurable selection theorems; an update, Lectures Notes in Math., Vol.794, Springer, 176–219.

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© 1983 ACADEMIA, Publishing House of the Czechoslovak Academy of Sciences, Prague

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Idzik, A. (1983). Theorems on Selectors in Topological Spaces I. In: Transactions of the Ninth Prague Conference. Czechoslovak Academy of Sciences, vol 9A. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7013-7_36

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  • DOI: https://doi.org/10.1007/978-94-009-7013-7_36

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-7015-1

  • Online ISBN: 978-94-009-7013-7

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