Singular coverings of toposes
Author(s)
Bibliographic Information
Singular coverings of toposes
(Lecture notes in mathematics, 1890)
Springer, c2006
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Note
Includes bibliographical references (p. [217]-221) and index
http://dx.doi.org/10.1007/3-540-36359-9
Description and Table of Contents
Description
This volume presents a self-contained theory of certain singular coverings of toposes, including branched coverings. This book is distinguished from classical treatments of the subject by its unexpected connection with a topic from functional analysis, namely, distributions. Although primarily aimed at topos theorists, this book may also be used as a textbook for advanced graduate courses introducing topos theory with an emphasis on geometric applications.
Table of Contents
Distributions and Complete Spreads.- Lawvere Distributions on Toposes.- Complete Spread Maps of Toposes.- The Spread and Completeness Conditions.- An Axiomatic Theory of Complete Spreads.- Completion KZ-Monads.- Complete Spreads as Discrete M-fibrations.- Closed and Linear KZ-Monads.- Aspects of Distributions and Complete Spreads.- Lattice-Theoretic Aspects.- Localic and Algebraic Aspects.- Topological Aspects.
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