Hyperconvexity and Tight Span Theory for Diversities

Details Hyperconvexity and Tight Span Theory for Diversities Hyperconvexity and Tight Span Theory for Diversities

2010-06-06

arxiv.org/abs/1006.1095v4

Mathematics

Metric Geometry

revised in response to referee comments

Scientific paper

The tight span, or injective envelope, is an elegant and useful construction that takes a metric space and returns the smallest hyperconvex space into which it can be embedded. The concept has stimulated a large body of theory and has applications to metric classification and data visualisation. Here we introduce a generalisation of metrics, called diversities, and demonstrate that the rich theory associated to metric tight spans and hyperconvexity extends to a seemingly richer theory of diversity tight spans and hyperconvexity.

Affiliated with

Also associated with

No associations

Rating

Hyperconvexity and Tight Span Theory for Diversities 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 Hyperconvexity and Tight Span Theory for Diversities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hyperconvexity and Tight Span Theory for Diversities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-681989