3 papers
math.AC2009
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…
math.FA2009
The number of weakly compact sets which generate a Banach space
Antonio Avilés
We consider the cardinal invariant CG(X) of the minimal number of weakly compact subsets which generate a Banach space X. We study the behavior of this index when passing to subspa…
math.FA2008
Slicely Countably Determined Banach spaces
Antonio Aviles, Vladimir Kadets, Miguel Martin +2
We introduce the class of slicely countably determined Banach spaces which contains in particular all spaces with the RNP and all spaces without copies of . We present many…