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Discontinuity Points of Separately Continuous Mappings with at Most Countable Set of Values

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Ukrainian Mathematical Journal Aims and scope

We obtain a general result on the constancy of separately continuous mappings and their analogs, which yields the well-known Sierpiński theorem. By using this result, we study the set of continuity points of separately continuous mappings with at most countably many range of values including, in particular, the mappings of the square of Sorgenfrey line into the Bing plane.

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Authors and Affiliations

  1. Fed’kovych Chernivtsi National University, Chernivtsi, Ukraine

    V. K. Maslyuchenko & O. I. Filipchuk

Authors
  1. V. K. Maslyuchenko
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  2. O. I. Filipchuk
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Corresponding author

Correspondence to O. I. Filipchuk.

Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 71, No. 6, pp. 801–807, June, 2019.

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Maslyuchenko, V.K., Filipchuk, O.I. Discontinuity Points of Separately Continuous Mappings with at Most Countable Set of Values. Ukr Math J 71, 912–920 (2019). https://doi.org/10.1007/s11253-019-01688-7

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  • DOI: https://doi.org/10.1007/s11253-019-01688-7

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