Cyclic Maps in Rational Homotopy Theory

Details Cyclic Maps in Rational Homotopy Theory Cyclic Maps in Rational Homotopy Theory

2003-09-25

arxiv.org/abs/math/0309423v1

Mathematics

Algebraic Topology

11 pages

Scientific paper

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 a number of results for rationalized
cyclic maps which generalize well-known results on the rationalized Gottlieb
groups.

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