Homotopy periodicity and coherence Academic Article uri icon

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abstract

  • If f : Z Z f\colon \,Z \rightarrow Z is a periodic homotopy equivalence ( id Z f p \operatorname {id}_{Z} \simeq f^{p} ) or a homotopy idempotent ( f f 2 f \simeq f^{2} ), the question arises whether this periodicity property can be achieved by a homotopy “compatible with” f f . These coherence questions are answered.

publication date

  • September 1, 1996