Abstract
A description of the topology of the pair (C(ΠxI), C(Π, I)) for the Peano continuum Π, where C(Π, I) is the closure in the hyperspace exp (ΠxI) of the image of the space of continuous functions C(Π, I) under the natural embedding, is obtained.
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Translated from Ukrayins'kyy Matematychnyy Zhurnal, Vol. 44, No. 9, pp. 1165–1170, September, 1992.
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Bazylevych, L.Y. Completions of functional spaces on Peano continua. Ukr Math J 44, 1064–1068 (1992). https://doi.org/10.1007/BF01058364
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DOI: https://doi.org/10.1007/BF01058364