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- W2189255679 abstract "In this paper, it is shown that the proper n-shape category of Ball-Sher type is isomorphic to a subcategory of the proper n-shape category defined by proper n-shapings. It is known that the latter is isomorphic to the shape category defined by the pair (.YIpn, .YIpnpol), where .Ytpn is the category whose objects are locally compact separable metrizable spaces and whose morphisms are the proper n-homotopy classes of proper maps, and .YIpnpol is the full subcategory of .YIpn whose objects are spaces having the proper n-homotopy type of polyhedra. In case n = 00, this shows the relation between the original Ball-Sher's category and the proper shape category defined by proper shapings. We also discuss the proper n-shape category of spaces of dimension ~ n + I." @default.
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- W2189255679 date "1998-12-01" @default.
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- W2189255679 title "PROPER n-SHAPE CATEGORIES" @default.
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