Properties of isometrically homogeneous curves

Details Properties of isometrically homogeneous curves Properties of isometrically homogeneous curves

2011-08-30

arxiv.org/abs/1108.5830v2

Mathematics

Metric Geometry

25 pages. Missing references of previous contributions added. Some credits and attributions corrected

Scientific paper

This paper is devoted to the study of isometrically homogeneous spaces from the view point of metric geometry. Mainly we focus on those spaces that are homeomorphic to lines. One can reduce the study to those distances on $\R$ that are translation invariant. We study possible values of various metric dimensions of such spaces. One of the main results is the equivalence of two properties: the first one is linear connectedness and the second one is 1-dimensionality, with respect to Nagata dimension. Several concrete pathological examples are provided.

Affiliated with

Also associated with

No associations

Rating

Properties of isometrically homogeneous curves 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 Properties of isometrically homogeneous curves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Properties of isometrically homogeneous curves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-728783