Applications of Sheaves

Proceedings of the Research Symposium on Applications of Sheaf Theory to Logic, Algebra and Analysis, Durham, July 9-21, 1977
Herausgegeben:Fourman, M. P.; Mulvey, C. J.; Scott, D. S.

• Broschiertes Buch

Produktbeschreibung

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.

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Produktdetails

• Lecture Notes in Mathematics 753
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-09564-4
• 1979
• Seitenzahl: 800
• Erscheinungstermin: 1. Oktober 1979
• Englisch
• Abmessung: 235mm x 155mm x 43mm
• Gewicht: 1224g
• ISBN-13: 9783540095644
• ISBN-10: 3540095640
• Artikelnr.: 23568227

Inhaltsangabe

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.