2 citations · 7 across the 14 of their papers we have counts for
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math.AT2012★ 1 cited
Fibrewise rational H-spaces
Gregory Lupton, Samuel B. Smith
We prove fibrewise versions of classical theorems of Hopf and Leray-Samelson. Our results imply the fibrewise H-triviality after rationalization of a certain class of fibrewise H-s…
math.AT2012★ 1 cited
Spaces of Topological Complexity One
Mark Grant, Gregory Lupton, John Oprea
We prove that a space whose topological complexity equals 1 is homotopy equivalent to some odd-dimensional sphere. We prove a similar result, although not in complete generality, f…