We show that the unit ball of p(Γ) in its weak topology is a continuous image of σ1(Γ), and we deduce some combinatorial properties of its lattice of open sets which are not shared by the balls of… (More)

We prove that a continuous image of a Radon-Nikodým compact of weight less than b is Radon-Nikodým compact. As a Banach space counterpart, subspaces of Asplund generated Banach spaces of density… (More)

Continuous time series of precipitation and temperature considerably facilitate and improve the calibration and validation of climate and hydrologic models, used inter alia for the planning and… (More)

The concepts of Boolean metric space and convex combination are used to characterize polynomial maps A n −→ A m in a class of commutative Von Neumann regular rings including p-rings, that we have… (More)

We study an order relation on the fibers of a continuous map and its application to the study of the structure of compact spaces of uncountable weight.

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 stability… (More)

a Departamento de Ecologı́a, Facultad de Ciencias, Universidad de Málaga, Campus Universitario de Teatinos S/N, 29071 Málaga, Spain b Grupo de Rı́os y Embalses, Centro Andaluz de Medio Ambiente,… (More)

We provide two examples of complex homogeneous quadratic poly-nomials P on Banach spaces of the form ℓ 1 (Γ). The first polynomial P has both separable and nonseparable maximal zero subspaces. The… (More)

We show that there are no automorphic Banach spaces of the form C(K) with K continuous image of Valdivia compact except the spaces c0(Γ). Nevertheless, when K is an Eberlein compact of finite height… (More)

We consider the class of all commutative reduced rings for which there exists a finite subset T ⊂ A such that all projections on quotients by prime ideals of A are surjective when restricted to T . A… (More)