One of the most intriguing research areas is the study of properties associated with large cardinals, that can be satisfied by small cardinals as well. The tree property is a notable example of such properties. Indeed, an inaccessible cardinal is weakly compact if and only if it satisfies the tree property. Strongly compact and supercompact cardinals admit a similar characterization in terms of combinatorial properties. An inaccessible cardinal is strongly compact if and only if it satisfies the strong tree property; it is supercompact if and only is it satisfies the super tree property. We discuss some consistency results concerning the strong and super tree properties at small cardinals.
Large Properties at Small Cardinals
18.10.2012 15:00 - 16:30
Organiser:
KGRC
Location:
SR 101, 2. St., Währinger Str. 25