Metric enrichment, finite generation, and the path coreflection

DOI10.5817/am2024-2-61MaRDI QIDQ6125065

Alexandru Chirvasitu

Publication date: 11 April 2024

Published in: Archivum Mathematicum (Search for Journal in Brave)

zbMATH Keywords

complete metric spaceconvexgluingintrinsic metriccolimitpath metricinternal homenrichedlocally presentablemonoidal closedtensored

Mathematics Subject Classification ID

Complete metric spaces (54E50) General theory of (C^*)-algebras (46L05) Special maps on metric spaces (54E40) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Closed categories (closed monoidal and Cartesian closed categories, etc.) (18D15) Accessible and locally presentable categories (18C35) Enriched categories (over closed or monoidal categories) (18D20) Free products of (C^*)-algebras (46L09) Lipschitz and coarse geometry of metric spaces (51F30)

Cites Work

• Approximate injectivity
• Fraïssé limits in functional analysis
• Approximate injectivity and smallness in metric-enriched categories
• Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
• Enriched Locally Generated Categories
• A universal operator on the Gurarii space
• An Introduction to Metric Spaces and Fixed Point Theory
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
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