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Virtual Topology and Functor Geometry

Virtual Topology and Functor Geometry

Paperback

Series: Lecture Notes in Pure and Applied Mathematics, Book 256

AlgebraGeneral MathematicsGeometry

ISBN10: 1420060562
ISBN13: 9781420060560
Publisher: CRC Press
Published: Dec 1 2007
Pages: 168
Weight: 0.65
Height: 0.43 Width: 6.34 Depth: 9.19
Language: English
This work explores new aspects of virtual topology and functor geometry as well as more established facets of noncommutative algebra. The author suggests possible projects that range from straightforward exercises to advanced research level and supplies the necessary background material, including localization theory and the classical lattice of quantum mechanics for a Hilbert space. Presenting the material in an easy, colloquial style to facilitate understanding, he covers category theory and noncommutative spaces, formulates an abstract notion of affine open through Grothendieck categorical representations, and proposes a dynamical version of topology and sheaf theory.

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General Mathematics