Geodesic
The $d$-rank of a~topological space
Algebra i logika, Tome 56 (2017) no. 2, pp. 150-163.

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It is shown that for any ordinal $\alpha$, there exists a $T_0$-space whose $d$-rank is equal to $\alpha$.
Keywords: $T_0$-space, $d$-rank. 
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Yu. L. Ershov. The $d$-rank of a~topological space. Algebra i logika, Tome 56 (2017) no. 2, pp. 150-163. http://geodesic.mathdoc.fr/item/AL_2017_56_2_a1/

[1] O. Wyler, “Dedekind complete posets and Scott topologies”, Continuous lattices, Proc. Conf. (Bremen, 1979), Lect. Notes Math., 871, 1981, 384–389 | DOI | Zbl

[2] G. Gierz, K. Hofmann, K. Keimel, J. Lawson, M. Mislove, D. S. Scott, Continuous lattices and domains, Encyclopedia Math. Appl., 93, Cambridge Univ. Press, Cambridge, 2003 | MR | Zbl

[3] Yu. L. Ershov, “On $d$-spaces”, Theor. Comput. Sci., 224:1/2 (1999), 59–72 | DOI | MR | Zbl