Applications of Sheaves
Applications of Sheaves Proceedings of the Research Symposium on Applications of Sheaf Theory to Logic, Algebra, and Analysis, Durham, July 9–21, 1977 / [electronic resource] :
edited by Michael Fourman, Christopher Mulvey, Dana Scott.
- XIV, 779 p. online resource.
- Lecture Notes in Mathematics, 753 0075-8434 ; .
- Lecture Notes in Mathematics, 753 .
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.
9783540348498
10.1007/BFb0061811 doi
Algebra.
Logic.
Global analysis (Mathematics).
Algebra.
Logic.
Analysis.
QA150-272
512
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.
9783540348498
10.1007/BFb0061811 doi
Algebra.
Logic.
Global analysis (Mathematics).
Algebra.
Logic.
Analysis.
QA150-272
512