24 citations · 55 across the 9 of their papers we have counts for
11 papers
The Quasi-hyperbolicity Constant of a Metric Space
George Dragomir, Andrew Nicas
We introduce the quasi-hyperbolicity constant of a metric space, a rough isometry invariant that measures how a metric space deviates from being Gromov hyperbolic. This number, for…
Finitely -amenable actions and Decomposition Complexity of Groups
Andrew Nicas, David Rosenthal
In his work on the Farrell-Jones Conjecture, Arthur Bartels introduced the concept of a "finitely -amenable" group action, where is a family of subgroups…
Virtual and welded periods of classical knots
Hans U. Boden, Andrew J. Nicas
We show that any virtual or welded period of a classical knot can be realized as a classical period. A direct consequence is that a classical knot admits only finitely many vir…
Metric transforms yielding Gromov hyperbolic spaces
George Dragomir, Andrew Nicas
A real valued function of one variable is called a metric transform if for every metric space the composition is also a metric on . We give a complet…
Alexander invariants of periodic virtual knots
Hans U. Boden, Andrew J. Nicas, Lindsay White
We show that every periodic virtual knot can be realized as the closure of a periodic virtual braid and use this to study the Alexander invariants of periodic virtual knots. If …
Regular Finite Decomposition Complexity
Daniel Kasprowski, Andrew Nicas, David Rosenthal
We introduce the notion of regular finite decomposition complexity of a metric family. This generalizes Gromov's finite asymptotic dimension and is motivated by the concept of fini…