Hostname: page-component-84b7d79bbc-c654p Total loading time: 0 Render date: 2024-07-30T02:10:56.636Z Has data issue: false hasContentIssue false
  • English
  • Français

Supercontinuity

Published online by Cambridge University Press:  24 October 2008

J. M. Henle  and
A. R. D. Mathias
J. M. Henle
Affiliation:
Smith College, Massachusetts, and Peterhouse, Cambridge
A. R. D. Mathias
Affiliation:
Smith College, Massachusetts, and Peterhouse, Cambridge
Get access Rights & Permissions [Opens in a new window]

Abstract

Let K > ω and . It is known that there then exists a non-trivial k-additive 2-valued measure, Vk, on the set [K]k of subsets of k of cardinality K..

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 92 , Issue 1 , July 1982 , pp. 1 - 15
Copyright
Copyright © Cambridge Philosophical Society 1982

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Cabal Seminar 76–77, ed. Kechris, A. S. and Moschovakis, Y. N.. Springer Lecture Notes in Mathematics, no. 689.Google Scholar
(2)Cabal Seminar 77–79, ed. Kechris, A. S., Martin, D. A. and Moschovakis, Y. N.. Springer Lecture Notes in Mathematics, no. 839.Google Scholar
(3)Henle, J. M.Some consequences of an infinite-exponent partition relation. Journal of Symbolic Logic 42 (1977), 523–526.CrossRefGoogle Scholar
(4)Henle, J. M.Researches into the world of K → (K)k. Annals of Mathematical Logic 17 (1979), 151–169.CrossRefGoogle Scholar
(5)Henle, J. M. and Di Prisco, C. A.On the compactness of N1 and N2. Journal of Symbolic Logic 43 (1978), 394–401.Google Scholar
(6)Kleinberg, E. M.Infinitary combinatorics and the axiom of determinateness. Springer Lecture Notes in Mathematics, no. 613.Google Scholar
(7)Mathias, A. R. D.Happy families. Annals of Mathematical Logic 12 (1977), 59–111.CrossRefGoogle Scholar
(8)Spector, M.A measurable cardinal with a nonwellfounded ultrapower. Journal of Symbolic Logic 45 (1980), 623–628.CrossRefGoogle Scholar