It is proved that the d-rank of an arbitrary α-space does not exceed 1.
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References
Yu. L. Ershov, “The theory of A-spaces,” Algebra and Logic, 12, No. 4, 209-232 (1973).
Yu. L. Ershov, “On d-spaces,” Theor. Comp. Sci., 224, Nos. 1/2, 59-72 (1999).
Yu. L. Ershov, “The d-rank of a topological space,” Algebra and Logic, 56, No. 2, 98-107 (2017).
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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Supported by RFBR, project No. 18-01-00624.
Translated from Algebra i Logika, Vol. 58, No. 6, pp. 706-713, November-December, 2019.