Journal of Soviet Mathematics

, Volume 27, Issue 4, pp 2851-2854

First online:

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

  • Z. I. Borevich

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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.