Keywords
- Projective Cover
- Normed Vector Space
- Essential Extension
- Injective Hull
- Injective Envelope
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References
Arens, R., Kelley, J.L.: Characterizations of the space of continuous functions over a compact Hausdorff space. Trans. Amer. Math. Soc. 62, 499–508 (1947)
Auspitz, N.: Doctoral dissertation. University of Waterloo. Spring 1975
Banaschewski, B.: Injectivity and essential extensions in equational classes of algebras. Proceedings of the Conference on Universal Algebra, October 1969. Queen's Papers in Pure and Applied Mathematics 25. Kingston, Ontario 1970
Banaschewski, B.: Projective covers in categories of topological spaces and topological algebras. Proceedings of the Kanpur Topological Conference 1968. Prague: Academia 1971
Banaschewski, B.: Sheaves of Banach spaces. Quaest. Math. 2, 1–22 (1977)
Banaschewski, B.: Extension of invariant linear functionals: Hahn-Banach in the topos of M-sets. Unpublished manuscript.
Barr, M.: The existence of injective effacements. Can. Math. Bull. 18, 1–8 (1975)
Burden, C.W.: The Hahn-Banach theorem in a category of sheaves. J. Pure and Applied Algebra. to appear
Cohen, H.B.: Injective envelopes of Banach spaces. Bull. Amer. Math. Soc. 70, 723–726 (1964)
Dobbs, D.E.: On characterizing injective sheaves. Can. J. Math. 24, 1031–1039 (1977)
Flachsmeyer, J.: Dedekind-MacNeille extensions of Boolean algebras and of vector lattices of continuous functions and their structure spaces. Gen. Top. Appl. to appear
Garling, D.J.H.: Some remarks on injective envelopes. Proc. Amer. Math. Soc. 27, 503–505 (1971)
Gillman, L., Jerison, M.: Rings of Continuous Functions. The University Series in Higher Mathematics. Princeton: van Nostrand 1960
Gleason, A.M.: Projective topological spaces. Ill. J. Math. 2, 482–489 (1958)
Keimel, K.: Oral communication. Durham Symposium on Sheaf Theory. Summer 1977
Mulvey, C.J.: Banach sheaves. to appear
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© 1979 Springer-Verlag
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Banaschewski, B. (1979). Injective banach 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/BFb0061814
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DOI: https://doi.org/10.1007/BFb0061814
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