Physical Sciences and Mathematics Commons^™

Cyclic Maps In Rational Homotopy Theory, Gregory Lupton, Sam Smith

Mathematics and Statistics Faculty Publications

The notion of a cyclic map g:A→X is a natural generalization of a Gottlieb element in π n (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.