Bakhtin e o grupo: incongruências de uma linguística ortodoxa

For these Russian authors, a sign has to be faithful to reality but what is, in fact, «to be faithful», what is «reality»? They suggest that thought structures itself only by means of signs – as Peirce, who denies the reality of dreams saying that the act to feel hunger is an ideological expression and the shouts of a new-born are already appreciative manifestations of this new human being. The authors had inspired the structuralism, saying that a «semiodiscourse» structures men. Although this instance, word remains neutral, assertion strange to their Hegelian and Marxist roots; their paradigm in contrast, can be Heideggerian, according to which, only the «marked» being exists: looking at one determined thing, I place it, I fit it in its context. To place something is to attribute sense and that is more Stoic than, in fact, Marxist.

On universal Banach spaces of density continuum

We consider the question whether there exists a Banach space X of density continuum such that every Banach space of density at most continuum isomorphically embeds into X (called a universal Banach space of density c). It is well known that a""(a)/c (0) is such a space if we assume the continuum hypothesis. Some additional set-theoretic assumption is indeed needed, as we prove in the main result of this paper that it is consistent with the usual axioms of set-theory that there is no universal Banach space of density c. Thus, the problem of the existence of a universal Banach space of density c is undecidable using the usual axioms of set-theory. We also prove that it is consistent that there are universal Banach spaces of density c, but a""(a)/c (0) is not among them. This relies on the proof of the consistency of the nonexistence of an isomorphic embedding of C([0, c]) into a""(a)/c (0).

Hypoellipticity in spaces of ultradistributions-Study of a model case

In this work we study C (a)-hypoellipticity in spaces of ultradistributions for analytic linear partial differential operators. Our main tool is a new a-priori inequality, which is stated in terms of the behaviour of holomorphic functions on appropriate wedges. In particular, for sum of squares operators satisfying Hormander's condition, we thus obtain a new method for studying analytic hypoellipticity for such a class. We also show how this method can be explicitly applied by studying a model operator, which is constructed as a perturbation of the so-called Baouendi-Goulaouic operator.