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Algebra Logika, 2017 Volume 56, Number 2, Pages 150–163 (Mi al785)

This article is cited in 9 papers

The $d$-rank of a topological space

Yu. L. Ershovab

a Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090 Russia
b Novosibirsk State University, ul. Pirogova 1, Novosibirsk, 630090 Russia

Abstract: 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.

UDC: 515.125

Received: 14.03.2017

DOI: 10.17377/alglog.2017.56.202


 English version:
Algebra and Logic, 2017, 56:2, 98–107

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© Steklov Math. Inst. of RAS, 2025