On the Lefschetz number for iterates of continuous mappings

Peitgen, H. O.

doi:10.1090/S0002-9939-1976-0391074-1

On the Lefschetz number for iterates of continuous mappings
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Proc. Amer. Math. Soc. 54 (1976), 441-444 Request permission

Abstract:

We give an elementary proof of the $(\bmod p)$-congruence between the Lefschetz numbers of a continuous mapping and its $p$th iterate, $p$ prime, and deduce some results about periodic mappings.

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Additional Information

Journal: Proc. Amer. Math. Soc. 54 (1976), 441-444
DOI: https://doi.org/10.1090/S0002-9939-1976-0391074-1
MathSciNet review: 0391074