3 papers
math.GN2026
Homeomorphism between close relatives of Hilbertian balls
Antonio Avilés
We present a solution to some problems posed by the author and Kalenda. We show that the closed ball of nonseparable Hilbert space in its weak topology is homeomorphic to its posit…
math.LO2025
Basis problem for analytic multiple gaps
Antonio Avilés, Stevo Todorcevic
A k-gap is a finite k-sequence of pairwise disjoint monotone families of infinite subsets of N mixed in such a way that we cannot find a partition of N such that each family is tri…
math.FA2024
Local complementation in Banach spaces and its preservation under free constructions
Antonio Avilés, Gonzalo MartÃnez-Cervantes, Abraham Rueda Zoca
In this work we consider natural generalizations of local complementation in Banach spaces, which include Lipschitz-local complementation. We show that all these notions are indeed…