Banach spaces and groups - order properties and universal models

Details Banach spaces and groups - order properties and universal models Banach spaces and groups - order properties and universal models

2003-03-26

arxiv.org/abs/math/0303325v1

Mathematics

Logic

Scientific paper

We deal with two natural examples of almost-elementary classes: the class of all Banach spaces (over R or C) and the class of all groups. We show both of these classes do not have the strict order property, and find the exact place of each one of them in Shelah's SOP_n (strong order property of order n) hierarchy. Remembering the connection between this hierarchy and the existence of universal models, we conclude, for example, that there are ``few'' universal Banach spaces (under isometry) of regular cardinalities.

Affiliated with

Also associated with

No associations

Rating

Banach spaces and groups - order properties and universal models does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Banach spaces and groups - order properties and universal models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Banach spaces and groups - order properties and universal models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-75844