Banaschewski, B. Injective Banach sheaves. (English) Zbl 0435.46052 Applications of sheaves, Proc. Res. Symp., Durham 1977, Lect. Notes Math. 753, 101-117 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 Document MSC: 46M20 Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) 46M10 Projective and injective objects in functional analysis 46H25 Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) 18F20 Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) 18A40 Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) 18B25 Topoi Keywords:presheaves; category of Banach spaces and linear contractions; Banach sheaves; approximation sheaves; category of Banach bundles; topos of sheaves; Banach sheaf of bounded continuous functions; adjoint situations; global elements functor; injective hull; injective Banach sheaves; Tychonoff space; pull-back sheaf; Hahn Banach theorems Citations:Zbl 0407.00001 PDFBibTeX XML