21 citations · 101 across the 38 of their papers we have counts for
12 papers · 1 filter
Commutative rings with finite quotient fields
Antonio Avilés
We consider the class of all commutative reduced rings for which there exists a finite subset T of A such that all projections on quotients by prime ideals of A are surjective when…
Zero subspaces of polynomials on l1(Gamma)
Antonio Avilés, Stevo Todorcevic
We provide two examples of complex homogeneous quadratic polynomials P on Banach spaces of the form l_1(I). The first polynomial P has both separable and nonseparable maximal zero…
Weakly countably determined spaces of high complexity
Antonio Avilés
We prove that there exist weakly countably determined spaces of complexity higher than coanalytic. On the other hand, we also show that coanalytic sets can be characterized by the…
The Schur l1 Theorem for filters
Antonio Avilés, Bernardo Cascales, Vladimir Kadets +1
We study the classes of filters F on N such that the weak and strong F-convergence of sequences in l1 coincide. We study also an analogue of l1 weak sequential completeness theorem…
Automorphisms in spaces of continuous functions on Valdivia compacta
Antonio Avilés, Yolanda Moreno
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(I). Nevertheless, when K is an Eberlein compac…
Fiber orders and compact spaces of uncountable weight
Antonio Avilés, Ondrej F. K. Kalenda
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.