# zbMATH — the first resource for mathematics

Fixed point index of iterations of local homeomorphisms of the plane: a Conley index approach. (English) Zbl 1009.54043
The authors introduce special index pairs, defined as filtration pairs, for a non-repeller fixed point “p” of a local homeomorphism $$f$$ . These pairs allow to compute easily the fixed point index of any iteration of $$f$$ at the point $$p$$, provided that the singleton “p” is an isolated invariant set.

##### MSC:
 54H25 Fixed-point and coincidence theorems (topological aspects) 54H20 Topological dynamics (MSC2010)
filtration pair
Full Text: