Homotopical models for metric spaces and completeness

DOI10.1007/S10485-024-09788-7MaRDI QIDQ6631560

Chloe Shupe, Isaiah Dailey, Semir Mujevic, Clara Huggins

Publication date: 1 November 2024

Published in: Applied Categorical Structures (Search for Journal in Brave)

zbMATH Keywords

model categoriesenriched categoriesCauchy completionLawvere metric spaces

Mathematics Subject Classification ID

Enriched categories (over closed or monoidal categories) (18D20) Homotopical algebra, Quillen model categories, derivators (18N40)

Cites Work

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• Probabilistic metric spaces as enriched categories
• Generalized metric spaces: Completion, topology, and powerdomains via the Yoneda embedding
• Weighted colimits and formal balls in generalized metric spaces
• Morita homotopy theory for (\(\infty\),1)-categories and \(\infty\)-operads
• Homotopical algebra
• Categorical Homotopy Theory
• Resource convertibility and ordered commutative monoids
• Simplicial homotopy theory
• Homotopy inverses for nerve

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