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Functional separation of inductive limits and representation of presheaves by sections. IV. Representation of presheaves by sections. (English) Zbl 0437.18008

MSC:
18F20 Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects)
18A30 Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.)
54A05 Topological spaces and generalizations (closure spaces, etc.)
54C30 Real-valued functions in general topology
54B30 Categorical methods in general topology
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References:
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[2] G. E. Bredon: Sheaf Theory. McGraw Hill, New York, 1967. · Zbl 0158.20505
[3] E. Čech: Topological Spaces. Prague, 1966. · Zbl 0141.39401
[4] J. Dauns K. H. Hofmann: Representation of Rings by Sections. Mem. Amer. Math. Soc., 83) · Zbl 0174.05703
[5] Z. Frolík: Structure Projective and Structure Inductive Presheaves. Celebrazioni arrchimedee del secolo XX, Simposio di topologia, 1964.
[6] J. Dugundji: Topology. Allyn and Bacon, Boston, 1966. · Zbl 0144.21501
[7] A. N. Gelfand D. A. Rajkov G. E. Silov: Commutative Normed Rings. Moscow, 1960
[8] E. Hille S. Phillipps: Functional Analysis and Semi-Groups. Providence, 1957.
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[10] G. Koethe: Topological Vector Spaces, I. New York Inc, Springer Vlg., 1969. · Zbl 0179.17001
[11] J. Pechanec-Drahoš: Representation of Presheaves of Semiuniformisable Spaces, and Representation of a Presheaf by the Presheaf of all Continuous Sections in its Covering Space. Czech. Math. Journal, 21 (96)) · Zbl 0225.54007
[12] J. Pechanec-Drahoš: Functional Separation of Inductive Limits and Representation of Presheaves by Sections, Part One, Separation Theorems for Inductive Limits of Closured Presheaves. Czech. Math. Journal. · Zbl 0421.54012
[13] J. Pechanec-Drahoš: Functional Separation of Inductive Limits and Representation of Presheaves by Sections, Part Two, Embedding of Presheaves into Presheaves of Compact Spaces. Czech. Math. Journal 29 (104)) · Zbl 0411.18010
[14] J. Pechanec-Drahoš: Functional Separation of Inductive Limits And Representation of Presheaves by Sections, Part Three, Some Special Cases of Separation of Inductive Limits of Presheaves. Czech. Math. Journal 30 (105)) · Zbl 0436.18007
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