Fraïssé sequences: category-theoretic approach to universal homogeneous structures -
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …

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 …

arXiv:1110.0903v2 [math.FA] 16 Nov 2011 A proof of uniqueness of the Gurariı space Page 1
arXiv:1110.0903v2 [math.FA] 16 Nov 2011 A proof of uniqueness of the Gurariı space ∗ Wies …

We present selected known results and some of their improvements, involving Gurarii
spaces. A Banach space is Gurarii if it has certain natural extension property for almost …

We deal with two weak forms of injectivity which turn out to have a rich structure behind:
separable injectivity and universal separable injectivity. We show several structural and …

We develop the theory of approximate Fra\"{i} ss\'{e} limits in the context of categories
enriched over metric spaces. Among applications, we construct a generic projection on the …

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 …

We construct a nonexpansive linear operator on the Gurariĭ space that" captures" all
nonexpansive linear operators between separable Banach spaces. Some additional …

In a locally λ λ-presentable category, with λ λ a regular cardinal, classes of objects that are
injective with respect to a family of morphisms whose domains and codomains are λ λ …

We present a simple and natural infinite game building an increasing chain of finite-
dimensional Banach spaces. We show that one of the players has a strategy with the …