Singular Coverings of Toposes

• Main Authors: Bunge, Marta (Author), Funk, Jonathon (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Series: Lecture Notes in Mathematics, 1890
• Subjects: Mathematics.; Category theory (Mathematics).; Homological algebra.; Algebra.; Ordered algebraic structures.; Manifolds (Mathematics).; Complex manifolds.; Category Theory, Homological Algebra.; Manifolds and Cell Complexes (incl. Diff.Topology).; Order, Lattices, Ordered Algebraic Structures.

The self-contained theory of certain singular coverings of toposes called complete spreads, that is presented in this volume, is a field of interest to topologists working in knot theory, as well as to various categorists. It extends the complete spreads in topology due to R. H. Fox (1957) but, unli...

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.