Gregory R. Conner

collaborators

4 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 $X$ with torsion-free first Cech homology, $H ˇ_{1} (x)$ , splits as $H_{1} (X) = H ˇ_{1} (X) \oplus K$ where $K$ 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…

math.GN2026

A Classification of Fractal Squares

Gregory Conner, Curtis Kent, Jun Luo +1

Let $λ_{K} : R^{2} \to {0, 1, \dots} \cup {\infty}$ be the lambda function of a planar comapctum $K$ , as defined in MR4488162. It is known that a planar continuum is locally co…