A note on complete separation in the Stone topology

Author:
G. A. Jensen

Journal:
Proc. Amer. Math. Soc. **21** (1969), 113-116

MSC:
Primary 06.65; Secondary 54.00

DOI:
https://doi.org/10.1090/S0002-9939-1969-0242743-1

MathSciNet review:
0242743

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References | Similar Articles | Additional Information

**[1]**F. W. Anderson,*Approximation in systems of real-valued continuous functions*, Trans. Amer. Math. Soc.**103**(1962), 249-271. MR**0136976 (25:436)****[2]**F. W. Anderson and R. L. Blair,*Characterizations of certain lattices of functions*, Pacific J. Math.**9**(1959), 335-364. MR**0105610 (21:4349)****[3]**G. Birkhoff,*Lattice theory*, rev. ed., Amer. Math. Soc. Colloq. Publ., Vol. 25, Amer. Math. Soc., Providence, R. I., 1948. MR**0029876 (10:673a)****[4]**R. L. Blair,*Stone's topology for a binary relation*, Duke Math. J.**226**(1955), 271-280. MR**0070146 (16:1138b)****[5]**M. Henriksen and D. G. Johnson,*On the structure of a class of archimedean lattice-ordered algebras*, Fund. Math.**50**(1961), 73-94. MR**0133698 (24:A3524)****[6]**G. A. Jensen,*Characterizations of the lattice of all real-valued continuous functions on a completely regular space*, Dissertation, Purdue Univ., Lafayette, Ind., 1966.**[7]**D. G. Johnson,*A structure theory for a class of lattice-ordered rings*, Acta Math.**104**(1960), 163-215. MR**0125141 (23:A2447)****[8]**M. Ward,*The closure operators of a lattice*, Ann. of Math.**43**(1942), 191-196. MR**0006144 (3:261e)**

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DOI:
https://doi.org/10.1090/S0002-9939-1969-0242743-1

Article copyright:
© Copyright 1969
American Mathematical Society