The topological complementation theorem à la Zorn
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- by Paul S. Schnare PDF
- Proc. Amer. Math. Soc. 35 (1972), 285-286 Request permission
Erratum: Proc. Amer. Math. Soc. 65 (1977), 188.
Abstract:
Steiner’s topological complementation theorem is given a short simple proof using Zorn’s Lemma.References
- A. C. M. van Rooij, The lattice of all topologies is complemented, Canadian J. Math. 20 (1968), 805–807. MR 227920, DOI 10.4153/CJM-1968-079-9
- Paul S. Schnare, Infinite complementation in the lattice of topologies, Fund. Math. 64 (1969), 249–255. MR 242110, DOI 10.4064/fm-64-2-249-255
- 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
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 35 (1972), 285-286
- MSC: Primary 54A05; Secondary 06A20
- DOI: https://doi.org/10.1090/S0002-9939-1972-0296884-3
- MathSciNet review: 0296884