Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-25T18:03:32.606Z Has data issue: false hasContentIssue false
  • English
  • Français

A new proof that analytic sets are Ramsey

Published online by Cambridge University Press:  12 March 2014

Erik Ellentuck
Erik Ellentuck*
Affiliation:
Rutgers, The State University, New Brunswick, New Jersey 08903
Get access Rights & Permissions [Opens in a new window]

Abstract

We give a direct mathematical proof of the Mathias-Silver theorem that every analytic set is Ramsey.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 39 , Issue 1 , March 1974 , pp. 163 - 165
Copyright
Copyright © Association for Symbolic Logic 1974

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]Galvin, F. and Prikry, K., Borel sets and Ramsey's theorem, this Journal, vol. 38 (1973), pp. 193–198.Google Scholar
[2]Kurotowski, K., Topology, vol. I, Academic Press, New York, 1966.Google Scholar
[3]Mathias, A. R. D., On a generalization of Ramsey's theorem, Notices of the American Mathematical Society, vol. 15 (1968), p. 931. Abstract 68T-E19.Google Scholar
[4]Silver, J., Every analytic set is Ramsey, this Journal, vol. 35 (1970), pp. 60–64.Google Scholar