66 citations · 237 across the 23 of their papers we have counts for
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math.DS2015
Quotient manifolds of flows
Robert E. Gompf
This paper investigates which smooth manifolds arise as quotients (orbit spaces) of flows of vector fields. Such quotient maps were already known to be surjective on fundamental gr…
math.DS2011★ 6 cited
Orbit Spaces of Gradient Vector Fields
Jack S. Calcut, Robert E. Gompf
We study orbit spaces of generalized gradient vector fields for Morse functions. Typically, these orbit spaces are non-Hausdorff. Nevertheless, they are quite structured topologica…