Geodesic
Decompositions of metrizable compact spaces admitting $T$-systems of complex-valued functions
Matematičeskie zametki, Tome 62 (1997) no. 2, pp. 259-267.

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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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V. A. Koshcheev. Decompositions of metrizable compact spaces admitting $T$-systems of complex-valued functions. Matematičeskie zametki, Tome 62 (1997) no. 2, pp. 259-267. http://geodesic.mathdoc.fr/item/MZM_1997_62_2_a8/

[1] Kolmogorov A. N., “Zamechanie po povodu mnogochlenov P. L. Chebysheva, naimenee uklonyayuschikhsya ot zadannoi funktsii”, UMN, 3:1 (1948), 216–221 | MR

[2] Schoenberg I. J., Yang C. T., “On the unicity of solutions of problems of best approximation”, Ann. Mat. Pura Appl., 54 (1961), 1–12 | DOI | MR | Zbl

[3] Overdeck J. M., “On the nonexistence of complex Haar systems”, Bull. Amer. Math. Soc., 77:5 (1971), 737–740 | DOI | MR | Zbl

[4] Koscheev V. A., “O chebyshevskikh sistemakh lokalno analiticheskikh funktsii”, Matem. zametki, 55:3 (1994), 35–46 | MR | Zbl

[5] Fedorchuk V. V., Filippov V. V., Obschaya topologiya. Osnovnye konstruktsii, Izd-vo MGU, M., 1988 | Zbl

[6] Kuratovskii K., Topologiya, T. 2, Mir, M., 1969

[7] Aleksandrov P. S., “Topologicheskie teoremy dvoistvennosti. 1: Zamknutye mnozhestva”, Tr. MIAN, 48, Nauka, M., 1955, 5–108 | MR | Zbl

[8] Claytor S., “Topological immersions of peanian continua in a spherical surface”, Ann. of Math., 35:4 (1934), 809–835 | DOI | MR | Zbl