2 papers
math.AT2023
Time-Varying Spaces and Mobile Sensor Networks
Tia Karkos, Henry Adams
Consider a mobile sensor network, in which each sensor covers a ball. Sensors do not know their locations, but can detect if the covered balls overlap. An intruder cannot pass unde…
math.AT2019
Elementary Methods for Persistent Homotopy Groups
Henry Adams, Mehmet Ali Batan, Mehmetcik Pamuk +1
We study the foundational properties of persistent homotopy groups and develop elementary computational methods for their analysis. Our main theorems are persistent analogues of th…