Lecture Notes in Mathematics

Fragments of the history of sheaf theory.- Finiteness and decidability:I.- Injective banach sheaves.- Simplicial sets and the foundations of analysis.- Localization with respect to a measure.- On the concept of a measurable space I.- Banach spaces in categories of sheaves.- The affine scheme of a general ring.- Localisation, spectra and sheaf representation.- Concrete quasitopoi.- Higher dimensional torsors and the cohomology of topoi : The abelian theory.- Sheaf models for analysis.- Sheaves and logic.- Heyting-valued models for intuitionistic set theory.- Sheaf theoretical concepts in analysis: Bundles and sheaves of Banach spaces, Banach C(X)-modules.- Continuity in spatial toposes.- A syntactic approach to Diers' localizable categories.- Conditions related to de Morgan's law.- Sheaves in physics - Twistor theory.- Sheaf representations and the dedekind reals.- Manifolds in formal differential geometry.- Note on non-abelian cohomology.- Representations of rings and modules.- Cramer's rule in the Zariski topos.- On the spectrum of a real representable ring.- On functorializing usual first-order model theory.- Topos theory and complex analysis.- Identity and existence in intuitionistic logic.- Weak adjointness in proof theory.- Rank one projective modules over certain fourier algebras.- Boolean valued analysis.- Sheaf-theoretical methods in the solution of Kaplansky's problem.- Generic Galois theory of local rings.- Sheaf theory and zero-dimensional mappings.