Functional separation of inductive limits and representation of presheaves by sections. Part one: Separation theorems for inductive limits of closured presheaves

DOI10.21136/cmj.1978.101560zbMath0421.54012OpenAlexW3047647809MaRDI QIDQ3854309

Jaroslav Pechanec-Drahos

Publication date: 1978

Full work available at URL: https://eudml.org/doc/13088

zbMATH Keywords

functional separationinductive limits of closured presheavesproximity and semiuniform spacessubcategory of closure spaces

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) Categorical methods in general topology (54B30) Uniform structures and generalizations (54E15) Proximity structures and generalizations (54E05) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Real-valued functions in general topology (54C30) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20)

Related Items

Unnamed Item ⋮ Unnamed Item ⋮ Functional separation of inductive limits and representation of presheaves by sections. Part III: Some special cases of separation of inductive limits of presheaves ⋮ Functional separation of inductive limits and representation of presheaves by sections. Part IV: Representation of presheaves by sections

Cites Work

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• Representation of rings by sections
• On the extension of Lipschitz, Lipschitz-Hölder continuous, and monotone functions
• Representations of presheaves of semiuniformisable spaces, and representation of a presheaf by the presheaf of all continuous sections in its covering-space