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- W2757299898 abstract "We study a Mayer-Vietoris kind formula for the fixed point index of maps of ENR triplets $fcolon (X;X_1,X_2)to (X;X_1,X_2) $ having compact fixed point set. We prove it under some suitable conditions. For instance when $(X;X_1,X_2)=(E^n;E^n_+,E^n_-)$. We use these results to generalize the Poincaré-Bendixson index formula for vector fields to continuous maps having a emph{sectorial decomposition}, to study the fixed point index $i(f,0)$ of orientation preserving homeomorphisms of $E^2_+$ and $(E^3;E^3_+,E^3_-)$ and the fixed point index in the invariant subspace." @default.
- W2757299898 created "2017-10-06" @default.
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- W2757299898 date "2017-09-23" @default.
- W2757299898 modified "2023-09-30" @default.
- W2757299898 title "Mayer-Vietoris property of the fixed point index" @default.
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- W2757299898 doi "https://doi.org/10.12775/tmna.2017.034" @default.
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