Compact Widts in Metric Trees

Details Compact Widts in Metric Trees Compact Widts in Metric Trees

2010-07-13

arxiv.org/abs/1007.2208v2

Mathematics

Metric Geometry

10 pages

Scientific paper

The definition of $n$-width of a bounded subset $A$ in a normed linear space $X$ is based on the existence of $n$-dimensional subspaces. Although the concept of an $n$-dimensional subspace is not available for metric trees, in this paper, using the properties of convex and compact subsets, we present a notion of $n$-widths for a metric tree, called T$n$-widths. Later we discuss properties of T$n$-widths, and show that the compact width is attained. A relationship between the compact widths and T$n$-widths is also obtained.

Affiliated with

Also associated with

No associations

Rating

Compact Widts in Metric Trees 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 Compact Widts in Metric Trees, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Compact Widts in Metric Trees will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-119896