Metric-enriched categories and approximate Fraïssé limits

Abstract

We develop the theory of approximate Fraïssé limits in the context of categories enriched over metric spaces. Among applications, we construct a generic projection on the Gurarii space and we present a simpler proof of a characterization of the pseudo-arc, due to Irwin and Solecki.

Corrected abstract and some typos

References in corpus (3)

• A proof of uniqueness of the Gurarii space
• Banach spaces of universal disposition
• Isometric uniqueness of a complementably universal Banach space for Schauder decompositions

Cited by in corpus (6)

• Quasi-Banach spaces of almost universal disposition
• Universal AF-algebras
• Amalgamation and Ramsey properties of $L_p$ spaces
• Categories with norms
• Weak Fraisse categories
• Strongly self-absorbing $C^{\ast }$-algebras and Fraïssé limits