4 papers
A canonical splitting of the first homology group of Peano continua
Gregory R. Conner, Wolfgang Herfort, Curtis Kent +1
The first singular homology of a Peano continuum with torsion-free first Cech homology, , splits as where is the homology s…
Homomorphisms from topological groups to inverse limits
Gregory R. Conner, Samuel M. Corson, Curtis Kent
We prove a general theorem giving constraints on maps from certain topological groups to inverse limits of bounded torsion groups. From this we obtain some automatic continuity and…
Tree-like is not a transitive relation on paths
Jeremy Brazas, Gregory R. Conner, Paul Fabel +1
The notions of tree-like loop and Lipschitz tree-like loop were introduced by Hambly and Lyons in their 2010 Annals of Mathematics paper. They showed that the Lipschitz tree-like p…
On R-trees, homotopies, and covering maps
Jeremy Brazas, Gregory R. Conner, Paul Fabel +1
A map has the \emph{unique path lifting} property if every path in , after a choice of an initial point, lifts uniquely to a path in . We prove that if a group …