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Loop cohomology

Kenneth Walter Johnson, Charles R. Leedham-Green (1990)

Czechoslovak Mathematical Journal

Metric enrichment, finite generation, and the path coreflection

Alexandru Chirvasitu (2024)

Archivum Mathematicum

We prove a number of results involving categories enriched over CMet, the category of complete metric spaces with possibly infinite distances. The category CPMet of path complete metric spaces is locally 1 -presentable, closed monoidal, and coreflective in CMet. We also prove that the category CCMet of convex complete metric spaces is not closed monoidal and characterize the isometry- 0 -generated objects in CMet, CPMet and CCMet, answering questions by Di Liberti and Rosický. Other results include...

Models of sketches

Michael Barr (1986)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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