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Functional separation of inductive limits and representation of presheaves by sections. III: Some special cases of separation of inductive limits of presheaves. (English) Zbl 0436.18007

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
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[5] J. Dugundji: Topology. Allyn and Bacon, Boston, 1966. · Zbl 0144.21501
[6] Z. Frolík: Structure Projective and Structure Inductive Presheaves. Celebrazioni archimedee del secolo XX, Simposio di topologia, 1964.
[7] A. N. Gelfand D. A. Rajkov G. E. Silov: Commutative Normed Rings. Moscow, 1960
[8] E. Hille, Ralph S. Phillipps: Functional Analysis and Semi-Groups. Providence, 1957.
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[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, 28 (103) 1978. · 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), 1979.
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