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E-book
Author Oystaeyen, F. Van, 1947-

Title Virtual topology and functor geometry / Fred Van Oystaeyen
Published Boca Raton, Fla. : Chapman & Hall/CRC, [2008]
©2008
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Description 1 online resource (xviii, 150 pages) : illustrations
Series Lecture notes in pure and applied mathematics ; v. 256
Lecture notes in pure and applied mathematics ; v. 256
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
Bibliography Includes bibliographical references (pages 143-146) and index
Notes Print version record
Subject Categories (Mathematics)
Dynamics
Grothendieck categories
Noncommutative function spaces
Representations of congruence lattices
Sheaf theory
Categories (Mathematics)
Dynamics.
Grothendieck categories.
MATHEMATICS -- Algebra -- Intermediate.
Noncommutative function spaces.
Representations of congruence lattices.
Sheaf theory.
Form Electronic book
ISBN 1420060570
9781420060577