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

MathSciNet review:
0242743

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References | Similar Articles | Additional Information

**[1]**Frank W. Anderson,*Approximation in systems of real-valued continuous functions*, Trans. Amer. Math. Soc.**103**(1962), 249–271. MR**0136976**, 10.1090/S0002-9947-1962-0136976-0**[2]**Frank W. Anderson and Robert L. Blair,*Characterizations of certain lattices of functions*, Pacific J. Math.**9**(1959), 335–364. MR**0105610****[3]**Garrett Birkhoff,*Lattice Theory*, American Mathematical Society Colloquium Publications, vol. 25, revised edition, American Mathematical Society, New York, N. Y., 1948. MR**0029876****[4]**Robert L. Blair,*Stone’s topology for a binary relation*, Duke Math. J.**22**(1955), 271–280. MR**0070146****[5]**M. Henriksen and D. G. Johnson,*On the structure of a class of archimedean lattice-ordered algebras.*, Fund. Math.**50**(1961/1962), 73–94. MR**0133698****[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****[8]**Morgan Ward,*The closure operators of a lattice*, Ann. of Math. (2)**43**(1942), 191–196. MR**0006144**

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

Article copyright:
© Copyright 1969
American Mathematical Society