Journal of Soviet Mathematics

, Volume 27, Issue 4, pp 2851–2854

Periodicity of residues of the number of finite labeled To-topologies

  • Z. I. Borevich

DOI: 10.1007/BF01410738

Cite this article as:
Borevich, Z.I. J Math Sci (1984) 27: 2851. doi:10.1007/BF01410738


Let T0(n) be the number of labeled topologies on points satisfying the To separation axiom. It is proved that for any prime p the sequence of residue classes To(n) mod p is periodic with period length p−1.

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© Plenum Publishing Corporation 1984

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  • Z. I. Borevich

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