Geometrical shape comparison by size theory |
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| Authors: | Patrizio Frosini |
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| Affiliation: | Dipartimento di Matematica, Piazza di Porta San Donato, 5, 40126 Bologna, Italy |
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| Abstract: | Size Theory allows us to compare shapes of topological spaces and manifolds with respect to properties described by real functions. The main tools used in Size Theory are some pseudo-distances measuring the minimal changes of these real functions under the action of homeomorphisms. This method can be adapted to several different definitions of shape without changing its geometrical-topological framework. Some new results about this approach to shape comparison are illustrated. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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