Self-similar groups (groups generated by automata) appeared initially as examples of
groups that are easy to define but that enjoy exotic properties like nontrivial torsion …

arXiv:1908.10612v6 [math.DG] 8 Jul 2021 Page 1 arXiv:1908.10612v6 [math.DG] 8 Jul 2021
Four Lectures on Scalar Curvature Misha Gromov July 9, 2021 Unlike manifolds with controlled …

Large scale geometry is the study of geometric objects viewed from a great distance. The
idea of large scale geometry can be traced back to Mostow's work on rigidity and the work of …

We establish several inequalities for manifolds with positive scalar curvature and, more
generally, for the scalar curvature bounded from below. In so far as geometry is concerned …

The asymptotic dimension theory was founded by Gromov [M. Gromov, Asymptotic invariants
of infinite groups, in: Geometric Group Theory, vol. 2, Sussex, 1991, in: London Math. Soc …

On asymptotic dimension of groups 1 Introduction Page 1 ISSN 1472-2739 (on-line) 1472-2747
(printed) 57 Algebraic & Geometric Topology ATG Volume 1 (2001) 57–71 Published: 27 …

Given a function f: X→ Y of metric spaces, the classical Hurewicz theorem states that dim
(X)≤ dim (f)+ dim (Y). We provide analogs of this theorem for the Assouad–Nagata …

Universal spaces for asymptotic dimension Page 1 Topology and its Applications 140 (2004)
203–225 www.elsevier.com/locate/topol Universal spaces for asymptotic dimension A …

We prove an asymptotic analog of the classical Hurewicz theorem on mappings that lower
dimension. This theorem allows us to find sharp upper bound estimates for the asymptotic …

We extend Gromov's notion of asymptotic dimension of finitely generated groups to all
discrete groups. In particular, we extend the Hurewicz type theorem proven in [B-D2] to …