Curtis Kent

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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.AT2024

On R-trees, homotopies, and covering maps

Jeremy Brazas, Gregory R. Conner, Paul Fabel +1

A map $p : E \to X$ has the \emph{unique path lifting} property if every path in $X$ , after a choice of an initial point, lifts uniquely to a path in $E$ . We prove that if a group $G$ …