most citedEvaluation Maps in Rational Homotopy

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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.AT2004

Rationalized Evaluation Subgroups of a Map II: Quillen Models and Adjoint Maps

Gregory Lupton, Samuel Bruce Smith

Let w: Map(X,Y;f) -> Y denote a general evaluation fibration. Working in the setting of rational homotopy theory via differential graded Lie algebras, we identify the long exact se…