Tight spans, Isbell completions and semi-tropical modules

zbMath1283.54023arXiv1302.4370MaRDI QIDQ2847375

Simon Willerton

Publication date: 4 September 2013

Full work available at URL: https://arxiv.org/abs/1302.4370

zbMATH Keywords

metric spacestight spaninjective hulltropical algebraIsbell completionpresheave spacesuniversal cocompletion

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Categorical methods in general topology (54B30) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Semirings (16Y60) Categories admitting limits (complete categories), functors preserving limits, completions (18A35) Enriched categories (over closed or monoidal categories) (18D20) Presheaves and sheaves in general topology (54B40)

Related Items (10)

Completeness and injectivity ⋮ An enriched category theory of language: from syntax to semantics ⋮ Duality as a category-theoretic concept ⋮ Isbell conjugacy and the reflexive completion ⋮ The vector lattice structure on the Isbell-convex hull of an asymmetrically normed real vector space ⋮ Endpoints in \(T_0\)-quasi-metric spaces ⋮ Unnamed Item ⋮ A construction of the \(B\)-completion of a \(T_0\)-quasi-metric space ⋮ Endpoints in \(T_0\)-quasimetric spaces. II. ⋮ The topology of a quantale valued metric space

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