Definable linear orders definably embed into lexicographic orders in o-minimal structures

Details Definable linear orders definably embed into lexicographic orders in o-minimal structures Definable linear orders definably embed into lexicographic orders in o-minimal structures

2010-03-28

arxiv.org/abs/1003.5400v5

Mathematics

Logic

9 pages (substantial rewrite from previous version)

Scientific paper

We completely characterize definable linear orders in o-minimal structures
expanding groups. For example, let (P,<_p) be a linear order definable in the
real field R. Then (P,<_p) embeds definably in (R^{n+1},<_l), where <_l is the
lexicographic order and n is the o-minimal dimension of P. This improves a
result of Onshuus and Steinhorn in the o-minimal group context.

Affiliated with

Also associated with

No associations

Rating

Definable linear orders definably embed into lexicographic orders in o-minimal structures 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 Definable linear orders definably embed into lexicographic orders in o-minimal structures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Definable linear orders definably embed into lexicographic orders in o-minimal structures will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-498830