Compactness of the space of left orders

Details Compactness of the space of left orders Compactness of the space of left orders

2006-06-11

arxiv.org/abs/math/0606264v2

Mathematics

Geometric Topology

8 pages; JKTR, 16(3), March 2007 to appear

Scientific paper

A left order on a magma (e.g., semigroup) is a total order of its elements that is left invariant under the magma operation. A natural topology can be introduced on the set of all left orders of an arbitrary magma. We prove that this topological space is compact. Interesting examples of nonassociative magmas, whose spaces of right orders we analyze, come from knot theory and are called quandles. Our main result establishes an interesting connection between topological properties of the space of left orders on a group, and the classical algebraic result by Conrad and Los concerning the existence of left orders.

Affiliated with

Also associated with

No associations

Rating

Compactness of the space of left orders 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 Compactness of the space of left orders, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Compactness of the space of left orders will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-647991