Skip to main content Accessibility help

Gregory trees, the continuum, and Martin's axiom

  • Kenneth Kunen (a1) and Dilip Raghavan (a1)


We continue the investigation of Gregory trees and the Cantor Tree Property carried out by Hart and Kunen. We produce models of MA with the Continuum arbitrarily large in which there are Gregory trees, and in which there are no Gregory trees.



Hide All
[1]Gregory, J., A countably distributive complete Boolean algebra not uncountably representable, Proceedings of the American Mathematical Society, vol. 42 (1974), pp. 4246.
[2]Gregory, J., Higher Souslin trees and the generalized continuum hypothesis, this Journal, vol. 41 (1976), pp. 663671.
[3]Hart, J. and Kunen, K., Inverse limits and function algebras, Topology Proceedings, vol. 30 (2006), pp. 501521.
[4]Hart, J. and Kunen, K., First countable continua and proper forcing, Canadian Journal of Mathematics, to appear.
[5]Kunen, K., Set theory, North-Holland, 1980.
[6]Moore, J. T., Hrušák, M., and Džamonja, M., Parametrized ⟡ principles, Transactions of the American Mathematical Society, vol. 356 (2004), pp. 22812306.
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

The Journal of Symbolic Logic
  • ISSN: 0022-4812
  • EISSN: 1943-5886
  • URL: /core/journals/journal-of-symbolic-logic
Please enter your name
Please enter a valid email address
Who would you like to send this to? *



Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed