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Virtual topology and functor geometry

Author: F Van Oystaeyen
Publisher: Boca Raton, Fla. : Chapman & Hall/CRC, ©2008.
Series: Lecture notes in pure and applied mathematics, v. 256.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:

Presents ideas for the development of an intrinsically noncommutative geometry. This book provides numerous suggestions for possible projects, ranging from exercise level to research level. It covers  Read more...

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Genre/Form: Electronic books
Additional Physical Format: Print version:
Oystaeyen, F. Van, 1947-
Virtual topology and functor geometry.
Boca Raton, Fla. : Chapman & Hall/CRC, ©2008
(DLC) 2007022732
(OCoLC)137325272
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: F Van Oystaeyen
ISBN: 9781420060577 1420060570
OCLC Number: 213362222
Description: 1 online resource (xviii, 150 pages) : illustrations.
Contents: FOREWORD; INTRODUCTION; PROJECTS; ; A TASTE OF CATEGORY THEORY; Basic Notions; Grothendieck Categories; Separable Functors; ; NONCOMMUTATIVE SPACES; Small Categories, Posets, and Noncommutative Topologies; The Topology of Virtual Opens and Its Commutative Shadow; Points and the Point Spectrum: Points in a Pointless World; Presheaves and Sheaves over Noncommutative Topologies; Noncommutative Grothendieck Topologies; The Fundamental Examples I: Torsion Theories; The Fundamental Examples II: L(H); Ore Sets in Schematic Algebras; ; GROTHENDIECK CATEGORICAL REPRESENTATIONS; Spectral Representations; Affine Elements; Quotient Representations; Noncommutative Projective Space; ; SHEAVES AND DYNAMICAL TOPOLOGY; Introducing Structure Sheaves; Dynamical Presheaves and Temporal Points; The Spaced-Time Model; ; BIBLIOGRAPHY; INDEX
Series Title: Lecture notes in pure and applied mathematics, v. 256.
Responsibility: Fred Van Oystaeyen.

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