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Cyclic Maps in Rational Homotopy Theory

Gregory Lupton, Samuel Bruce Smith

math.ATarXiv:math/0309423

Abstract

The notion of a cyclic map g: A -> X is a natural generalization of a Gottlieb element in pin(X). We investigate cyclic maps from a rational homotopy theory point of view. We show a number of results for rationalized cyclic maps which generalize well-known results on the rationalized Gottlieb groups.

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