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Decompositions of metrizable compact spaces admitting $T$-systems of complex-valued functions
V. A. Koshcheev Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
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.
Received: 05.06.1995
Citation:
V. A. Koshcheev, “Decompositions of metrizable compact spaces admitting $T$-systems of complex-valued functions”, Mat. Zametki, 62:2 (1997), 259–267; Math. Notes, 62:2 (1997), 216–222
Linking options:
https://www.mathnet.ru/eng/mzm1609https://doi.org/10.4213/mzm1609 https://www.mathnet.ru/eng/mzm/v62/i2/p259
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| Abstract page: | 534 | | Full-text PDF : | 254 | | References: | 101 | | First page: | 1 |
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