English

The Checkered Smocked Space and its Tangent Cone

Metric Geometry 2019-12-16 v1

Abstract

Smocked metric spaces were first defined in arXiv:1906.03403 and it was proved that if a norm on the Euclidean space uniformly estimates the pseudometric of a smocked metric space, then the tangent cone at infinity is unique and is a norm vector space with that estimating norm. In this paper, we explicitly calculate the norm approximating the pseudometric of the checkered smocked space and find the tangent cone at infinity.

Keywords

Cite

@article{arxiv.1912.06294,
  title  = {The Checkered Smocked Space and its Tangent Cone},
  author = {Victoria Antonetti and Maziar Farahzad and Ajmain Yamin},
  journal= {arXiv preprint arXiv:1912.06294},
  year   = {2019}
}