Israel Journal of Mathematics

, Volume 9, Issue 2, pp 199–209 | Cite as

On the existence of simplex spaces

  • Alan Gleit


We give several general theorems to facilitate the construction of examples of simplex spaces.


Banach Lattice Borel Subset Relative Norm Compact Hausdorff Space Order Banach Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Bednar, J. and H. Lacey,On spaces whose duals are abstract L-spaces and Choquet Simplexes, to appear.Google Scholar
  2. 2.
    Bourbaki, N.,General Topology, part 1, Addison-Wesley, Reading, 1966.Google Scholar
  3. 3.
    Dunford, N. and J. Schwartz,Linear Operators, part 1, Interscience, New York, 1964.Google Scholar
  4. 4.
    Effros, E.,Structure in Simplexes, Acta Math.117 (1967), 103–121.MATHCrossRefMathSciNetGoogle Scholar
  5. 5.
    Effros, E.,Structure in Simplexes II, J. Func. Anal.1 (1967), 379–391.MATHCrossRefMathSciNetGoogle Scholar
  6. 6.
    Effros, E., and A. Gleit,Structure in Simplexes III, Trans. Amer. Math. Soc.142 (1969), 355–379.MATHCrossRefMathSciNetGoogle Scholar
  7. 7.
    Gleit, A.,On the structure topology of simplex spaces, Pacific J. Math.34 (1970), 389–406.MATHMathSciNetGoogle Scholar
  8. 8.
    Gleit, A.,Composition series for simplex spaces, to appear.Google Scholar
  9. 9.
    Gleit, A.,Topics in simplex space theory, Ph.D. thesis, Stanford, 1969.Google Scholar
  10. 10.
    Bourbaki, N.,Integration, N. 1244, Hermann, Paris, 1967.Google Scholar
  11. 11.
    Phelps, R.,Lectures on Choquet’s Theorem, van Nostrand, Princeton, 1966.MATHGoogle Scholar
  12. 12.
    Taylor, P.,The structure space of a Choquet simplex, J. Func. Anal.6 (1970), 208–217.MATHCrossRefGoogle Scholar

Copyright information

© Hebrew Univeristy 1971

Authors and Affiliations

  • Alan Gleit
    • 1
  1. 1.Department of MathematicsCarnegie Mellon UniversityPittsburgh

Personalised recommendations