Antonio Avilés

  1. Multiple gaps.

    Authors: Antonio Avilés, Stevo Todorcevic
    Subjects: Logic
    Abstract

    We consider the notion of multiple gap as a finite set of ideals that cannot
    be separated. We study the different types of such objects that can be found in
    the Boolean algebra of subsets of the natural numbers modulo finite sets.

  2. The McShane integral in weakly compactly generated spaces.

    Authors: Antonio Avilés, Grzegorz Plebanek, José Rodríguez
    Subjects: Functional Analysis
    Abstract

    Di Piazza and Preiss asked whether every Pettis integrable function defined
    on [0,1] and taking values in a weakly compactly generated Banach space is
    McShane integrable. In this paper we answer this question in the negative.

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