Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Auspitz, N.: Doctoral dissertation: University of Waterloo, Ontario, 1975
Banaschewski, B.: Sheaves of Banach spaces. Quaest. Math., 2 (1977), 1–22
Banaschewski, B.: Injective Banach sheaves. This volume
Banaschewski, B.: Extension of invariant linear functionals: Hahn-Banach in the topos of M-sets. J. Pure Applied Algebra. To appear
Bishop, E.: Foundations of Constructive Analysis. New York: McGraw-Hill 1967
Bridges, D.S.: Constructive Functional Analysis. Research Notes in Mathematics, 28. London: Pitman 1979
Burden, C.W.: Normed and Banach spaces in categories of sheaves. Thesis: University of Sussex, 1978
Burden, C.W.: The Hahn-Banach theorem in a category of sheaves. J. Pure Applied Algebra. To appear
Burden, C.W., Mulvey, C.J.: Normed and *normed spaces in categories of sheaves. To appear
Coste, M.: Logique de 1er ordre dans les topos élémentaires. Séminaire de théorie des catégories (J. Bénabou). Université Paris-Nord, 1973
Coste, M.: Logique d'ordre supérieur dans les topos élémentaires. Séminaire de théorie des catégories (J. Bénabou). Université Paris-Nord, 1974
Dauns, J., Hofmann, K.H.: Representations of rings by sections. Mem. Amer. Math. Soc., 83 (1968)
Dixmier, J., Douady, A.: Champs continus d'espaces hilbertiens et de C*-algèbres. Bull. Soc. Math. France, 91 (1963), 227–284
Fell, J.M.G.: Induced representations of Banach *algebraic bundles. Lecture Notes in Mathematics, 582. Berlin and New York: Springer 1977
Hofmann, K.H.: Representations of algebras by continuous sections. Bull. Amer. Math. Soc., 78 (1972), 291–373
Hofmann, K.H.: Sheaves and bundles of Banach spaces. Preprint: Tulane University, New Orleans, 1978
Hofmann, K.H.: Bundles and sheaves are equivalent in the category of Banach spaces. In K-Theory and Operator Algebras. Lecture Notes in Mathematics, 575, 53–69. Berlin and New York: Springer 1977
Hofmann, K.H., Keimel, K.: Sheaf theoretical concepts in analysis: bundles and sheaves of Banach spaces, Banach C(X)-modules. This volume
Johnstone, P.T.: Topos Theory. L.M.S. Monographs, 10. London and New York: Academic Press 1977
Johnstone, P.T.: Conditions relating to De Morgan's law. This volume
Mulvey, C.J.: Représentations des produits sous-directs d'anneaux par espaces annelés. C.R. Acad. Sci. Paris, 270 (1970), A564–A567
Mulvey, C.J.: On ringed spaces. Thesis: University of Sussex, 1970
Mulvey, C.J.: Intuitionistic algebra and representations of rings. In Recent advances in the representation theory of rings and C*-algebras by continuous sections. Mem. Amer. Math. Soc., 148 (1974), 3–57
Mulvey, C.J.: C*-algebras in a topos. Tagungsbericht of Oberwolfach Category Meeting, 1974
Mulvey, C.J.: Espaces annelés compacts. C.R. Acad. Sci. Paris, 283 (1976), 229–231
Mulvey, C.J.: A categorical characterisation of compactness. J. London Math. Soc. (2), 17 (1978), 356–362
Mulvey, C.J.: Banach spaces over a compact space. In Categorical Topology. Lecture Notes in Mathematics, 719, 243–249. Berlin and New York: Springer 1979
Mulvey, C.J.: Representation of rings and modules. This volume
Mulvey, C.J.: Banach sheaves. J. Pure Applied Algebra. To appear
Mulvey, C.J.: A non-commutative Gelfand-Naimark theorem. Preprint: University of Sussex, 1978
Mulvey, C.J.: The real numbers in a topos. To appear
Mulvey, C.J.: Categories of Banach modules. To appear
Pelletier, J.W., Rosebrugh, R.: The category of Banach spaces in sheaves. Cah. top. géom. diff. To appear
Staples, J.: On constructive fields. Proc. London Math. Soc. (3), 23 (1971), 753–768
Teleman, S.: Theory of harmonic algebras with application to von Neumann algebras and cohomology of locally compact spaces (de Rham's theorem). In Lectures on the applications of sheaves to ring theory. Lecture Notes in Mathematics, 248. Berlin and New York: Springer 1971
Zaidenberg, M.G., Krein, S.G., Kuchment, P.A., Pankov, A.A.: Banach bundles and linear operators. Russian Math. Surveys, 30 (1975), 115–175
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1979 Springer-Verlag
About this chapter
Cite this chapter
Burden, C.W., Mulvey, C.J. (1979). Banach spaces in categories of sheaves. In: Fourman, M., Mulvey, C., Scott, D. (eds) Applications of Sheaves. Lecture Notes in Mathematics, vol 753. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061818
Download citation
DOI: https://doi.org/10.1007/BFb0061818
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-09564-4
Online ISBN: 978-3-540-34849-8
eBook Packages: Springer Book Archive