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Singular Coverings of Toposes, Paperback by Bunge, M.; Funk, J., Brand New, F...
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Item specifics
- Condition
- Book Title
- Singular Coverings of Toposes
- ISBN
- 9783540363590
- Series
- Lecture Notes in Mathematics Ser.
- Publication Year
- 2006
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Publication Name
- Singular Coverings of Toposes : the Geometry of Lawvere Distributions
- Item Length
- 9.3in
- Publisher
- Springer Berlin / Heidelberg
- Item Width
- 6.1in
- Item Weight
- 27.5 Oz
- Number of Pages
- Xii, 225 Pages
About this product
Product Information
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].
Product Identifiers
Publisher
Springer Berlin / Heidelberg
ISBN-10
3540363599
ISBN-13
9783540363590
eBay Product ID (ePID)
56953404
Product Key Features
Publication Name
Singular Coverings of Toposes : the Geometry of Lawvere Distributions
Format
Trade Paperback
Language
English
Series
Lecture Notes in Mathematics Ser.
Publication Year
2006
Type
Textbook
Number of Pages
Xii, 225 Pages
Dimensions
Item Length
9.3in
Item Width
6.1in
Item Weight
27.5 Oz
Additional Product Features
Series Volume Number
1890
Number of Volumes
1 Vol.
Lc Classification Number
Qa169
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.
Copyright Date
2006
Topic
Group Theory, Algebra / Abstract, Topology, Geometry / Algebraic
Dewey Decimal
512.55
Intended Audience
Scholarly & Professional
Dewey Edition
22
Illustrated
Yes
Genre
Mathematics
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