The Journal of Symbolic Logic

Research Article

The cofinality of cardinal invariants related to measure and category

Tomek Bartoszynskia1, Jaime I. Ihodaa1 and Saharon Shelaha2a3

a1 Department of Mathematics, University of California, Berkeley, California 94720

a2 Institute of Mathematics, The Hebrew University, Jerusalem, Israel

a3 Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903

Abstract

We prove that the following are consistent with ZFC:

1. 2 ω = ω1 + #x039A;c = ω1 + ΚΒ = ΚU = ω 2 (for measure and category simultaneously).

2. .

This concludes the discussion about the cofinality of Κ c .

(Received January 30 1988)