Singular coverings of toposes(拓扑斯的奇异覆盖)
发布日期:2007-04-04 浏览次
[内容简介]
This volume presents a fairly self-contained theory of certain singular coverings of toposes, including branched coverings. This is a field that should be of interest to topologists working in knot theory, as well as also to certain categorists. An unusual feature which distinguishes this book from classical treatments of the subject is an 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.
[目次]
Introduction.- Part
I: Distributions and Complete Spreads.-
1.Lawvere Districutions on Toposes.-
2.Complete Spread Maps of Toposes.-
3.The Spread and Completeness Conditions.- Part II: An Axiomatic Theory of Complete Spreads.- 4.Completion KZ-Monads.-
5.Complete Spreads as Discrete M-fibrations.-
6. Closed and Linear KZ-Monads.- Part III: Aspects of Distributions and Complete Spreads.- 7.Lattice-Theoretic Aspects.-
8.Localic and Algebraic Aspects.-
9.Topological Aspects.-
Bibliography.-
Index.
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