Applications of Sheaves

Table of Contents

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   Book Overview
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   Chapter 1 Fragments of the history of sheaf theory
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   Chapter 2 Finiteness and decidability:I
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   Chapter 3 Injective banach sheaves
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   Chapter 4 Simplicial sets and the foundations of analysis
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   Chapter 5 Localization with respect to a measure
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   Chapter 6 On the concept of a measurable space I
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   Chapter 7 Banach spaces in categories of sheaves
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   Chapter 8 The affine scheme of a general ring
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    Chapter 10 Concrete quasitopoi
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    Chapter 11 Higher dimensional torsors and the cohomology of topoi : The abelian theory
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    Chapter 12 Sheaf models for analysis
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    Chapter 13 Sheaves and logic
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    Chapter 14 Heyting-valued models for intuitionistic set theory
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    Chapter 15 Sheaf theoretical concepts in analysis: Bundles and sheaves of Banach spaces, Banach C(X)-modules
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    Chapter 16 Continuity in spatial toposes
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    Chapter 17 A syntactic approach to Diers' localizable categories
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    Chapter 18 Conditions related to de Morgan's law
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    Chapter 19 Sheaves in physics — Twistor theory
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    Chapter 20 Sheaf representations and the dedekind reals
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    Chapter 21 Manifolds in formal differential geometry
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    Chapter 22 Note on non-abelian cohomology
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    Chapter 23 Representations of rings and modules
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    Chapter 24 Cramer's rule in the Zariski topos
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    Chapter 25 On the spectrum of a real representable ring
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    Chapter 26 On functorializing usual first-order model theory
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    Chapter 27 Topos theory and complex analysis
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    Chapter 28 Identity and existence in intuitionistic logic
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    Chapter 29 Weak adjointness in proof theory
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    Chapter 30 Rank one projective modules over certain fourier algebras
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    Chapter 31 Boolean valued analysis
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    Chapter 32 Sheaf-theoretical methods in the solution of Kaplansky's problem
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    Chapter 33 Generic Galois theory of local rings
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    Chapter 34 Sheaf theory and zero-dimensional mappings