Sublinear and continuous order-preserving functions for noncomplete preorders

Details Sublinear and continuous order-preserving functions for noncomplete preorders Sublinear and continuous order-preserving functions for noncomplete preorders

2002-04-09

arxiv.org/abs/math/0204101v1

Proceedings of the Ninth Prague Topological Symposium (Prague, 2001), pp. 1--8, Topology Atlas, Toronto, 2002

Mathematics

General Topology

8 pages

Scientific paper

We characterize the existence of a nonnegative, sublinear and continuous
order-preserving function for a not necessarily complete preorder on a real
convex cone in an arbitrary topological real vector space. As a corollary of
the main result, we present necessary and sufficient conditions for the
existence of such an order-preserving function for a complete preorder.

Affiliated with

Also associated with

No associations

Rating

Sublinear and continuous order-preserving functions for noncomplete preorders 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 Sublinear and continuous order-preserving functions for noncomplete preorders, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Sublinear and continuous order-preserving functions for noncomplete preorders will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-387456