activity
20002005
most citedRationalized Evaluation Subgroups of a Map and the Rationalized G-Sequence

2 citations · 3 across the 7 of their papers we have counts for

collaborators
Showing 2003Show all

3 papers · 1 filter

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…