Fraïssé sequences: category-theoretic approach to universal homogeneous structures -
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It is no exaggeration to say that the theory of separably injective spaces is quite different
from that of injective spaces. In this chapter we will explain why. Indeed, we will enter now in …

We develop Fraïssé theory, namely the theory of Fraïssé classes and Fraïssé limits, in the
context of metric structures. We show that a class of finitely generated structures is Fraïssé if …

Abstract Properties of categories enriched over the category of metric spaces are
investigated and applied to a study of well-known constructions of metric and Banach …

We study the dynamics of the group of isometries of L p-spaces. In particular, we study the
canonical actions of these groups on the space of δ-isometric embeddings of finite …

We provide a unified approach to Fraïssé limits in functional analysis, including the Gurarij
space, the Poulsen simplex, and their noncommutative analogs. We obtain in this general …

We give a construction of the Gurarij space analogous to Katětov's construction of the
Urysohn space. The adaptation of Katětov's technique uses a generalisation of the Arens …

We realize the Jiang-Su algebra, all UHF algebras, and the hyperfinite II1 factor as Fraïssé
limits of suitable classes of structures. Moreover by means of Fraïssé theory we provide new …

We show that for each p∈(0, 1] there exists a separable p-Banach space G p of almost
universal disposition, that is, having the following extension property: for each ε> 0 and each …

The article is a survey related to a classical unsolved problem in Banach space theory,
appearing in Banach's famous book in 1932, and known as the Mazur rotations problem …