Strong \(n\)-shape theory (Q1612255)

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scientific article; zbMATH DE number 1787563
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Strong \(n\)-shape theory
scientific article; zbMATH DE number 1787563

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    Strong \(n\)-shape theory (English)
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    22 August 2002
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    The authors modify the known theorem concerning the duality for \(Z\)-sets in the \((n+1)\)-dimensional Menger continuum \(\mu^{n+1}\) obtaining a duality in terms of the strong \(n\)-shape category of \(Z\)-sets in \(\mu^{n+1}\) and the proper \(n\)-homotopy category of their complements in \(\mu^{n+1}\).
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