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Decompositions of metrizable compact spaces admittingT-systems of complex-valued functions

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Abstract

Upper semicontinuous decompositions into continua of a metrizable compact space admitting a Chebyshev system of continuous complex-valued functions are considered. It is proved that the cyclic elements of the Moore decomposition space can be embedded in the two-dimensional sphere.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Ural Division, Russian Academy of Sciences, Ural, USSR

    V. A. Koshcheev

Authors
  1. V. A. Koshcheev
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Translated fromMatematicheskie Zametki, Vol. 62, No. 2, pp. 259–267, August, 1997.

Translated by O. V. Sipacheva

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Koshcheev, V.A. Decompositions of metrizable compact spaces admittingT-systems of complex-valued functions. Math Notes 62, 216–222 (1997). https://doi.org/10.1007/BF02355909

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  • DOI: https://doi.org/10.1007/BF02355909

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