Zapiski Nauchnykh Seminarov POMI, Modules and algebraic groups, Tome 114 (1982), pp. 32-36
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Z. I. Borevich. Periodicity of residues of the number of finite labeled $T_0$-topologies. Zapiski Nauchnykh Seminarov POMI, Modules and algebraic groups, Tome 114 (1982), pp. 32-36. http://geodesic.mathdoc.fr/item/ZNSL_1982_114_a3/
@article{ZNSL_1982_114_a3,
author = {Z. I. Borevich},
title = {Periodicity of residues of the number of finite labeled $T_0$-topologies},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {32--36},
year = {1982},
volume = {114},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1982_114_a3/}
}
TY - JOUR
AU - Z. I. Borevich
TI - Periodicity of residues of the number of finite labeled $T_0$-topologies
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1982
SP - 32
EP - 36
VL - 114
UR - http://geodesic.mathdoc.fr/item/ZNSL_1982_114_a3/
LA - ru
ID - ZNSL_1982_114_a3
ER -
%0 Journal Article
%A Z. I. Borevich
%T Periodicity of residues of the number of finite labeled $T_0$-topologies
%J Zapiski Nauchnykh Seminarov POMI
%D 1982
%P 32-36
%V 114
%U http://geodesic.mathdoc.fr/item/ZNSL_1982_114_a3/
%G ru
%F ZNSL_1982_114_a3
Let $T_0(n)$ be the number of labeled topologies on points satisfying the $T_0$ separation axiom. It is proved that for any prime $p$ the sequence of residue classes $T_0(n)\mod p$ is periodic with period length $p-1$.
