Pechanec-Drahos, Jaroslav Functional separation of inductive limits and representation of presheaves by sections. I: Separation theorems for inductive limits of closured presheaves. (English) Zbl 0421.54012 Czech. Math. J. 28(103), 525-547 (1978). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 4 Documents MSC: 54C30 Real-valued functions in general topology 54A05 Topological spaces and generalizations (closure spaces, etc.) 54B30 Categorical methods in general topology 54E05 Proximity structures and generalizations 54E15 Uniform structures and generalizations 18A30 Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) 18F20 Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) Keywords:functional separation; inductive limits of closured presheaves; proximity and semiuniform spaces; subcategory of closure spaces PDFBibTeX XMLCite \textit{J. Pechanec-Drahos}, Czech. Math. J. 28(103), 525--547 (1978; Zbl 0421.54012) Full Text: EuDML References: [1] N. Bourbaki: Elements de Mathématique. Livre III, Topologie Generale, Paris, Hermann, 1951. · Zbl 0042.09201 [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 (1968). · Zbl 0174.05703 [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. [9] J. L. Kelley: General Topology. Van Nostrand, New York, 1955. · Zbl 0066.16604 [10] G. Koethe: Topological Vector Spaces, I. New York Inc, Springer Vlg, 1969. · Zbl 0179.17001 [11] G. J. Minty: On the Extension of Lipschitz-Hölder continuous, and Monotone Functions. Bulletin of the A.M.S., 76, (1970), I. · Zbl 0191.34603 · doi:10.1090/S0002-9904-1970-12466-1 [12] 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.