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Geometrical shape comparison by size theory
Author(s) -
Frosini Patrizio
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700636
Subject(s) - mathematics , action (physics) , topology (electrical circuits) , topological space , computer science , geometry , pure mathematics , physics , combinatorics , quantum mechanics
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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