4 citations · 17 across the 24 of their papers we have counts for
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math.AT2016
On subgroups of first homology
Samuel M. Corson
We prove several new theorems regarding first homology. Some dichotomies for first homology of Peano continua are presented, as well as a notion of strong abelianization for arbitr…
math.GN2016
On definable subgroups of the fundamental group
Samuel M. Corson
We present several new theorems concerning the first fundamental group of a path connected metric space. Among the results proven are strengthenings of the main theorems of \cite{S…
math.LO2016
On quasi-isometry and choice
Samuel M. Corson
In this note we prove that the symmetry of the quasi-isometry relation implies the axiom of choice, even when the relation is restricted to geodesic hyperbolic spaces. We show that…