The normal completion of the lattice of continuous functions
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- by R. P. Dilworth
- Trans. Amer. Math. Soc. 68 (1950), 427-438
- DOI: https://doi.org/10.1090/S0002-9947-1950-0034822-9
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References
- G. Birkhoff, Lattice theory, rev. ed., Amer. Math. Soc. Colloquium Publications, vol. 25, 1949.
- Eduard Čech, On bicompact spaces, Ann. of Math. (2) 38 (1937), no. 4, 823–844. MR 1503374, DOI 10.2307/1968839
- Hidegorô Nakano, Über das System aller stetigen Funktionen auf einem topologischen Raum, Proc. Imp. Acad. Tokyo 17 (1941), 308–310 (German). MR 14173
- M. H. Stone, Applications of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc. 41 (1937), no. 3, 375–481. MR 1501905, DOI 10.1090/S0002-9947-1937-1501905-7
- M. H. Stone, A general theory of spectra. I, Proc. Nat. Acad. Sci. U.S.A. 26 (1940), 280–283. MR 2023, DOI 10.1073/pnas.26.4.280
- M. H. Stone, Boundedness properties in function-lattices, Canad. J. Math. 1 (1949), 176–186. MR 29091, DOI 10.4153/cjm-1949-016-5
Bibliographic Information
- © Copyright 1950 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 68 (1950), 427-438
- MSC: Primary 27.2X
- DOI: https://doi.org/10.1090/S0002-9947-1950-0034822-9
- MathSciNet review: 0034822