3 papers
math.AT2026
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…
math.GR2026
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…
math.GT2026
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…