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Example of a constructive separable space with an inseparable completion

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Abstract

An example is constructed of a constructive uniform constructively

-space with an enumerable fundamental system of encirclements, whose completion is not even a constructively

-space.

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Literature cited

  1. N. A. Shanin, “Constructive real numbers and constructive functional spaces,” Tr. Mat. Inst. Akad. Nauk SSSR,67, 15–294 (1962).

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  2. Phan Dinh Diêu, “Some questions in constructive functional analysis,” Tr. Mat. Inst. Akad. Nauk SSSR,114, 1–228 (1970).

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  3. A. I. Mal'tsev, Algorithms and Recursive Functions [in Russian], Nauka, Moscow (1965).

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Authors
  1. V. P. Chernov
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akad. Nauk SSSR, Vol. 60, pp. 207–208, 1976.

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Chernov, V.P. Example of a constructive separable space with an inseparable completion. J Math Sci 14, 1563–1564 (1980). https://doi.org/10.1007/BF01693988

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  • DOI: https://doi.org/10.1007/BF01693988

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