2 citations · 3 across the 7 of their papers we have counts for
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math.AT2003★ 2 cited
Rationalized Evaluation Subgroups of a Map and the Rationalized G-Sequence
Gregory Lupton, Samuel Bruce Smith
Let f: X -> Y be a based map of simply connected spaces. The corresponding evaluation map w: map(X,Y;f) -> Y induces a homomorphism of homotopy groups whose image in pi_n(Y) is cal…
math.AT2003
Cyclic Maps in Rational Homotopy Theory
Gregory Lupton, Samuel Bruce Smith
The notion of a cyclic map g: A -> X is a natural generalization of a Gottlieb element in pi_n(X). We investigate cyclic maps from a rational homotopy theory point of view. We show…
math.AT2003
The Rational Toomer Invariant and Certain Elliptic Spaces
Gregory Lupton
We give an explicit formula for the rational category of an elliptic space whose minimal model has a homogeneous-length differential. We also show that for such a space, there are…