Coverings of a topological space
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- by R. S. Pierce
- Trans. Amer. Math. Soc. 77 (1954), 281-298
- DOI: https://doi.org/10.1090/S0002-9947-1954-0070149-0
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References
- G. Birkhoff, Lattice theory, rev. ed., Amer. Math. Soc. Colloquium Publications, vol. 25, 1949.
J. Richard Büchi, Die Boolesche Partialordnung, Portugaliae Mathematica vol. 7 (1948) pp. 118-177.
- Witold Hurewicz, Über Einbettung separabler Räume in gleichdimensionale kompakte Räume, Monatsh. Math. Phys. 37 (1930), no. 1, 199–208 (German). MR 1549788, DOI 10.1007/BF01696770
- Irving Kaplansky, Lattices of continuous functions, Bull. Amer. Math. Soc. 53 (1947), 617–623. MR 20715, DOI 10.1090/S0002-9904-1947-08856-X
- R. S. Pierce, Homomorphisms of semi-groups, Ann. of Math. (2) 59 (1954), 287–291. MR 62120, DOI 10.2307/1969693
- 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
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- Henry Wallman, Lattices and topological spaces, Ann. of Math. (2) 39 (1938), no. 1, 112–126. MR 1503392, DOI 10.2307/1968717
Bibliographic Information
- © Copyright 1954 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 77 (1954), 281-298
- MSC: Primary 56.0X
- DOI: https://doi.org/10.1090/S0002-9947-1954-0070149-0
- MathSciNet review: 0070149