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Título:
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Mayer-vietoris property of the fixed point index
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Autores:
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Barge, Héctor ;
Wójcik, K.
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Tipo de documento:
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texto impreso
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Editorial:
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Juliusz Schauder Center, 2017
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Ecuaciones diferenciales
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Tipo = Artículo
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Resumen:
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In this paper we study a Mayer-Vietoris kind of formula for the fixed point index of maps of ENR triplets f : (X;X1,X2) ? (X;X1,X2) having compact fixed point set. We prove it under some suitable conditions. For instance when (X;X1,X2) = (En;En+,En ?). We use these results to generalize Poincar´e-Bendixson index formula for vector fields to continuos maps having a sectorial decomposition, to study the fixed point index i(f, 0) of orientation preserving homeomorphisms of E2 + and (E3;E3 +,E3 ?) and the fixed point index in the invariant subspace.
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En línea:
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https://eprints.ucm.es/47101/1/Barge1.pdf
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