Fr. 83.00

Applications of Sheaves - Proceedings of the Research Symposium on Applications of Sheaf Theory to Logic, Algebra and Analysis, Durham, July 9-21, 1977

Anglais · Livre de poche

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Description

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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.

Table des matières

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.

Détails du produit

Collaboration M. P. Fourman (Editeur), C. J. Mulvey (Editeur), D. S. Scott (Editeur)
Edition Springer, Berlin
 
Langues Anglais
Format d'édition Livre de poche
Sortie 26.06.2009
 
EAN 9783540095644
ISBN 978-3-540-09564-4
Pages 779
Poids 1224 g
Illustrations XIV, 779 p.
Thèmes Lecture Notes in Mathematics
Lecture Notes in Mathematics
Catégorie Sciences naturelles, médecine, informatique, technique > Mathématiques > Arithmétique, algèbre

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