This is the fourth and the last volume of the series of books of problems in Cptheory entitled
A Cp-Theory Problem Book, ie, this book is a continuation of the three volumes subtitled …

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 …

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Banach spaces are objects with a linear structure so linear maps have been considered the
natural tool for transferring good norms from one Banach space to another. It is well known …

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 consider the closed subspace of ℓ∞ generated by c 0 and the characteristic functions of
elements of an uncountable, almost disjoint family A of infinite subsets of N. This Banach …

Abstract The classic Rosenthal–Lacey theorem asserts that the Banach space C (K) of
continuous real-valued maps on an infinite compact space K has a quotient isomorphic to c …

We start the systematic study of Fréchet spaces which are ℵ-spaces in the weak topology. A
topological space X is an ℵ 0-space or an ℵ-space if X has a countable k-network or a σ …

We investigate the following problem posed by Cabello Sanchéz, Castillo, Kalton, and Yost:
Let K be a nonmetrizable compact space. Does there exist a nontrivial twisted sum of c 0 …

Nonseparable C(K)-spaces can be twisted when K is a finite height compact - ScienceDirect
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