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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. LOMI, 1978 Volume 75, Pages 35–42 (Mi znsl3784)

This article is cited in 3 papers

The number of labeled topologies on nine points

Z. I. Borevich, V. Venslav, É. Dobrovol'skii, V. I. Rodionov


Abstract: The number of all topologies which can be introduced on a fixed set of nine points is found. It is equal to 63 260 289 423. Of them 44 511 042 511 are topologies with the axiom of separability $\mathrm T_\mathrm o$. Bibl. 3 titles.

UDC: 513.83


 English version:
Journal of Soviet Mathematics, 1987, 37:2, 937–942

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