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The homeomorphism problem of compact nonlinear mappings - MaRDI portal

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The homeomorphism problem of compact nonlinear mappings (Q2753299)

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scientific article; zbMATH DE number 1667853
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English
The homeomorphism problem of compact nonlinear mappings
scientific article; zbMATH DE number 1667853

    Statements

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    6 May 2003
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    homeomorphism problem of compact nonlinear mappings
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    dimension theory
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    homeomorphism variants
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    compact nonlinear mappings
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    fixed point sets
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    The homeomorphism problem of compact nonlinear mappings (English)
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    The homeomorphism problem of compact nonlinear mappings on a locally convex topological vector space is studied from the viewpoint of dimension theory. First of all, dimension theoretic homeomorphism variants which are defined on the set of all compact nonlinear mappings are introduced. Next, these invariants are applied to obtain a dimension theoretic characterization of the fixed point sets which these compact nonlinear mapping have.NEWLINENEWLINEFor the entire collection see [Zbl 0969.00060].
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