ArticleOriginal scientific text

Title

Linear orders and MA + ¬wKH

Authors 1

Affiliations

  1. Department of Mathematics, University of Wisconsin-Madison, Madison, Wisconsin 53706, U.S.A.

Abstract

I prove that the statement that "every linear order of size 2ω can be embedded in (ωω,)" is consistent with MA + ¬ wKH.

Bibliography

  1. [K] K. Kunen, Set Theory. An Introduction to Independence Proofs, North-Holland, 1980.
  2. [L] R. Laver, Linear orders in (ω)ω under eventual dominance, in: Logic Colloquium '78, M. Boffa, D. van Dalen and K. McAloon (eds.), North-Holland, 1979, 299-302.
  3. [M] W. Mitchell, Aronszajn trees and the independence of the transfer property, Ann. Math. Logic 5 (1972), 21-46.
  4. [T] S. Todorčević, Some consequences of MA + ¬ wKH, Topology Appl. 12 (1981), 187-202.
  5. [W] W. H. Woodin, Set theory and discontinuous homomorphisms from Banach algebras, Ph.D. thesis, University of California-Berkeley, 1983.

Additional information

http://matwbn.icm.edu.pl/ksiazki/fm/fm146/fm14632.pdf

Pages:
215-238
Main language of publication
English
Received
1993-05-14
Accepted
1994-07-18
Published
1995
Exact and natural sciences