Representation Theory: A First Course (Graduate Texts in

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It helps to think about this example like a physicist. Distance entails a particular topological structure. Topology combines with group theory to yield the geometry of transformation groups,having applications to relativity theory and quantum mechanics. Spatial relationships express specifically how features share coincident geometry along with the rules for the behavior of their spatial representations. Abstract homotopy theory, then, provides a general algebraic framework for studying deformation; this has strong interaction with the general study of category theory.

Pages: 551

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K (November 1991)

ISBN: 3540974954

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