1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.AT2005★ 1 cited
Evaluation Maps in Rational Homotopy
Yves Felix, Gregory Lupton
Let E be an H-space acting on a based space X. Then we refer to ev: E -> X, the map obtained by acting on the base point of X, as a ``generalized evaluation map." We establish seve…
math.AT2005
Homotopy Actions, Cyclic Maps and their Duals
Martin Arkowitz, Gregory Lupton
An action of A on X is a map F: AxX to X such that F|_X = id: X to X. The restriction F|_A: A to X of an action is called a cyclic map. Special cases of these notions include group…
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…