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Singular Coverings of Toposes, Paperback by Bunge, M.; Funk, J., Like New Use...
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Item specifics
- Condition
- Book Title
- Singular Coverings of Toposes
- ISBN
- 9783540363590
- Subject Area
- Mathematics
- Publication Name
- Singular Coverings of Toposes : the Geometry of Lawvere Distributions
- Publisher
- Springer Berlin / Heidelberg
- Item Length
- 9.3 in
- Subject
- Group Theory, Algebra / Abstract, Topology, Geometry / Algebraic
- Publication Year
- 2006
- Series
- Lecture Notes in Mathematics Ser.
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Weight
- 27.5 Oz
- Item Width
- 6.1 in
- Number of Pages
- Xii, 225 Pages
About this product
Product Identifiers
Publisher
Springer Berlin / Heidelberg
ISBN-10
3540363599
ISBN-13
9783540363590
eBay Product ID (ePID)
56953404
Product Key Features
Number of Pages
Xii, 225 Pages
Language
English
Publication Name
Singular Coverings of Toposes : the Geometry of Lawvere Distributions
Subject
Group Theory, Algebra / Abstract, Topology, Geometry / Algebraic
Publication Year
2006
Type
Textbook
Subject Area
Mathematics
Series
Lecture Notes in Mathematics Ser.
Format
Trade Paperback
Dimensions
Item Weight
27.5 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
Dewey Edition
22
Series Volume Number
1890
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
512.55
Table Of Content
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.
Synopsis
This book gives an introduction to a theory of complete spreads, which - sically uses the same strategy employed by R. H. Fox [Fox57] for dealing with branched coverings, and which we carry out in close connection with (and parallel to) a theory of distributions in the sense of F. W. Lawvere [Law66, Law83, Law92]. Rather than elucidating the concepts of toposes, distributions, and c- plete spreads in this preface, we give a preliminary taste of these concepts by including certain quotations which authoritatively describe the original s- tings and motivations behind them, and let the reader explore these concepts and their interplay in the often new guises in which we present them in this book, itself based on our own work on these topics during the past ten years. Toposes "The original notion of a topos, as a 'generalized space' suitable for suppo- ing the exotic cohomology theories required in algebraic geometry, sprang from the fertile brain of Alexandre Grothendieck in the early 1960's, and was developed in his S´ eminaire de G´ eom´ etrie Alg´ ebrique du Bois-Marie parti- larly during the academic year 1963-64. The duplicated notes of that seminar circulated widely among algebraic geometers and category-theorists over the next decade, until Springer-Verlag did the world a service by publishing a revised and expanded edition in three volumes of Lecture Notes in Mat- matics in 1972 [AGV72b]., 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.
LC Classification Number
QA169
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