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

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

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math.AT2005

Rank of the fundamental group of a component of a function space

Gregory Lupton, Samuel Bruce Smith

We compute the rank of the fundamental group of an arbitrary connected component of the space map(X, Y) for X and Y nilpotent CW complexes with X finite. For the general component…

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…