English

Cyclic Maps in Rational Homotopy Theory

Algebraic Topology 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.math/0309423,
  title  = {Cyclic Maps in Rational Homotopy Theory},
  author = {Gregory Lupton and Samuel Bruce Smith},
  journal= {arXiv preprint arXiv:math/0309423},
  year   = {2007}
}

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11 pages