3 papers
math.GR2017
The fundamental group of reduced suspensions
Samuel M. Corson, Wolfram Hojka
We classify pointed spaces according to the first fundamental group of their reduced suspension. A pointed space is either of so-called totally path disconnected type or of horsesh…
math.AT2014
Archipelago groups
Gregory R. Conner, Wolfram Hojka, Mark Meilstrup
The classical archipelago is a non-contractible subset of which is homeomorphic to a disk except at one non-manifold point. Its fundamental group, , is…
math.DS2014
Ends of iterated function systems
Gregory R. Conner, Wolfram Hojka
Guided by classical concepts, we define the notion of \emph{ends} of an iterated function system and prove that the number of ends is an upper bound for the number of nondegenerate…