Pacific Journal of Mathematics

Ultrafilters and the basis property.

Richard A. Sanerib, Jr.

Article information

Source
Pacific J. Math., Volume 62, Number 1 (1976), 255-263.

Dates
First available in Project Euclid: 8 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1102867876

Mathematical Reviews number (MathSciNet)
MR0412068

Zentralblatt MATH identifier
0335.06012

Subjects
Primary: 06A40

Citation

Sanerib, Richard A. Ultrafilters and the basis property. Pacific J. Math. 62 (1976), no. 1, 255--263. https://projecteuclid.org/euclid.pjm/1102867876


Export citation

References

  • [1] G. Fichtenholz, and L. Kantorovitch, Sur les operations linairs dans Vespace des functions bornees, Studia Math., 5 (1934), 69-98.
  • [2] P. Halmos, Lectures on Boolean Algebras, van Nostrand Mathematical Studies No. 1, Princeton, 1963.
  • [3] F. Hausdorff, Uber zwei Satze von G. Fichtenholz und L. Kantorovitch, Studia Math., 6 (1936), 18-19.
  • [4] K. Kunen, Ultrafilters and independent sets, Trans. Amer. Math. Soc, 172 (1972), 299-306.
  • [5] R. D. Mayer and R. S. Pierce, Boolean algebras with ordered bases, Pacific J. Math., 10 (1960), 925-942.
  • [6] A. Mostowski and A. Tarski, Boolesche Ringe mit geordneter Basis, Fund. Math., 32 (1939), 69-86.
  • [7] I. Reznikoff, Tout ensemble de formules de la logique classique est equivalent a un ensemble indpendant, C. R. Acad. Sc, Paris (1) 260 (1965), 2385-2388.
  • [8] B. Rotman, Boolean algebras with ordered bases, Fund. Math., 75 (1972), 186-197.
  • [9] Prabir Roy, The cardinality of first countable spaces, Bull. Amer. Math. Soc, 77 (1971), 1057-1059.
  • [10] R. Sikorski, Boolean Algebras, Springer Verlag, New York, 1969.
  • [11] A. Tarski, Uber einige fundamentalBegriffe der Metamathematik, C. R. Soc. Sc. Lettres Varsouie, classe III, 23 (1930), 22-29.