# zbMATH — the first resource for mathematics

Equivariant Nielsen numbers. (English) Zbl 0739.55001
We introduce equivariant Nielsen type numbers which estimate the minimal number of fixed orbits and fixed points of a $$G$$-map $$f: X\to X$$ in the $$G$$-homotopy class of $$f$$. As an application, we relate the equivariant Nielsen theory to the Nielsen theory for iterates of maps.
Reviewer: P.Wong

##### MSC:
 55M20 Fixed points and coincidences in algebraic topology
Full Text: