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The d-Rank of an α-Space Does Not Exceed 1

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Algebra and Logic Aims and scope

It is proved that the d-rank of an arbitrary α-space does not exceed 1.

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References

  1. Yu. L. Ershov, “The theory of A-spaces,” Algebra and Logic, 12, No. 4, 209-232 (1973).

  2. Yu. L. Ershov, “On d-spaces,” Theor. Comp. Sci., 224, Nos. 1/2, 59-72 (1999).

  3. Yu. L. Ershov, “The d-rank of a topological space,” Algebra and Logic, 56, No. 2, 98-107 (2017).

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  4. Yu. L. Ershov, “Theory of domains and nearby,” in Lec. Not. Comp. Sci., 735, Springer-Verlag, Berlin (1993), pp. 1-7.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia

    Yu. L. Ershov

  2. Novosibirsk State University, ul. Pirogova 1, Novosibirsk, 630090, Russia

    Yu. L. Ershov

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  1. Yu. L. Ershov
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Correspondence to Yu. L. Ershov.

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Supported by RFBR, project No. 18-01-00624.

Translated from Algebra i Logika, Vol. 58, No. 6, pp. 706-713, November-December, 2019.

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Ershov, Y.L. The d-Rank of an α-Space Does Not Exceed 1. Algebra Logic 58, 470–474 (2020). https://doi.org/10.1007/s10469-020-09566-z

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  • DOI: https://doi.org/10.1007/s10469-020-09566-z

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