Weak diamond for ℵ2 assuming CH

1982 ◽  
pp. 485-491
Keyword(s):  
Weak Diamond

WEAK DIAMOND AND OPEN COLORINGS

2003 ◽  
Vol 03 (01) ◽  
pp. 119-125
Author(s):  
JUSTIN TATCH MOORE
Keyword(s):  
Inaccessible Cardinal ◽  
Relative Consistency ◽  
Weak Diamond

The purpose of this article is to prove the relative consistency of certain statements about open colorings with 2ℵ0 < 2ℵ1. In particular both OCA and the statement that every 1–1 function of size ℵ1 is σ-monotonic are consistent with 2ℵ0 < 2ℵ1. As a corollary we have that 2ℵ0 < 2ℵ1 does not admit a ℙ max variation (in the presence of an inaccessible cardinal).

scholarly journals De Bruijn’s weak diamond property revisited

2013 ◽  
Vol 24 (4) ◽  
pp. 1050-1072 ◽  
Author(s):  
Jörg Endrullis ◽  
Jan Willem Klop
Keyword(s):  
Weak Diamond

scholarly journals Weak diamond and Galvin’s property

2016 ◽  
Vol 74 (1) ◽  
pp. 128-136 ◽  
Author(s):  
Shimon Garti
Keyword(s):  
Weak Diamond

scholarly journals More on the weak diamond

1985 ◽  
Vol 28 (3) ◽  
pp. 315-318 ◽  
Author(s):  
Saharon Shelah
Keyword(s):  
Weak Diamond
Sign in / Sign up

Export Citation Format

Share Document