3 papers
math.GT2023
A concept for resemblance in large scale geometry
Shahab Kalantari
In this paper, we introduce the notion of large scale resemblance structure as a new large scale structure by axiomatizing the concept of `being alike in large scale' for a family…
math.GT2021
Asymptotic resemblance relations on groups
Sh. Kalantari
In this paper, we study properties of asymptotic resemblance relations induced by compatible coarse structures on groups. We generalize the notion of asymptotic dimensiongrad for g…
math.GT2014
On Large Scale Inductive Dimension of Asymptotic Resemblance Spaces
Sh. Kalantari, B. Honari
We introduce the notion of large scale inductive dimension for asymptotic resemblance spaces. We prove that the large scale inductive dimension and the asymptotic dimensiongrad are…