Complementation in the lattice of 𝑇₁-topologies

Steiner, A. K.

doi:10.1090/S0002-9939-1966-0193033-4

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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Complementation in the lattice of $T_{1}$-topologies
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by A. K. Steiner

Proc. Amer. Math. Soc. 17 (1966), 884-886

DOI: https://doi.org/10.1090/S0002-9939-1966-0193033-4

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References

R. W. Bagley, On the characterization of the lattice of topologies, J. London Math. Soc. 30 (1955), 247–249. MR 67862, DOI 10.1112/jlms/s1-30.2.247
Otto Fröhlich, Das Halbordnungssystem der topologischen Räume auf einer Menge, Math. Ann. 156 (1964), 79–95 (German). MR 166750, DOI 10.1007/BF01359926
Juris Hartmanis, On the lattice of topologies, Canadian J. Math. 10 (1958), 547–553. MR 98358, DOI 10.4153/CJM-1958-054-5
A. K. Steiner, The lattice of topologies: Structure and complementation, Trans. Amer. Math. Soc. 122 (1966), 379–398. MR 190893, DOI 10.1090/S0002-9947-1966-0190893-2