21 citations · 58 across the 8 of their papers we have counts for
7 papers
Local k-connectedness of an inverse limit of polyhedra
G. C. Bell, A. Nagórko
We provide an easily verifiable condition for local -connectedness of an inverse limit of polyhedra.
Decomposition theorems for asymptotic property C and property A
G. Bell, D. Głodkowski, A. Nagórko
We combine aspects of the notions of finite decomposition complexity and asymptotic property C into a notion that we call finite APC-decomposition complexity. Any space with finite…
Weighted Persistent Homology
Greg Bell, Austin Lawson, Joshua Martin +2
We introduce weighted versions of the classical Čech and Vietoris-Rips complexes. We show that a version of the Vietoris-Rips Lemma holds for these weighted complexes and that they…
On stability of asymptotic property C for products and some group extensions
G. Bell, A. Nagórko
We show that Dranishnikov's asymptotic property C is preserved by direct products and the free product of discrete metric spaces. In particular, if and are groups with asym…
The asymptotic dimension of a curve graph is finite
Gregory Bell, Koji Fujiwara
We find an upper bound for the asymptotic dimension of a hyperbolic metric space with a set of geodesics satisfying a certain boundedness condition studied by Bowditch. The primary…
A Hurewicz-type theorem for asymptotic dimension and applications to geometric group theory
G. C. Bell, A. N. Dranishnikov
We prove an asymptotic analog of the classical Hurewicz theorem on mappings which lower dimension. This theorem allows us to find sharp upper bound estimates for the asymptotic dim…