4 citations · 7 across the 12 of their papers we have counts for
12 papers
Boolean metric spaces and Boolean algebraic varieties
Antonio Avilés
The concepts of Boolean metric space and convex combination are used to characterize polynomial maps in a class of commutative Von Neumann regular rings including Boolean rings and…
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…
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…
The number of weakly compact convex subsets of the Hilbert space
Antonio Avilés
We prove that for k an uncountable cardinal, there exist 2^k many non homeomorphic weakly compact convex subsets of weight k in the Hilbert space of density k.