We announce a foliated version of Ferry's metric h-cobordism theorem [13]. Let M be a compact Riemarinian manifold and 7 a smooth foliation of M such that the sectional curvatures of the leaves of 7 are zero. There are numbers a > 0 (depending only on dim(M)) and 6 > 0 (depending on M and 7) so that if W is an h-cobordism over M having 6 control in the directions perpendicular to 7 and having a...

Best possible bounds are obtained for the concentration function of an additive arithmetic function on sequences of shifted primes. A real-valued function / defined on the positive integers is additive if it satisfies f(rs) = f(r) + f(s) whenever r and s are coprime. Such functions are determined by their values on the prime-powers. For additive arithmetic function /, let Q denote the frequency...

Let M be an irreducible, compact, connected, orientable 3-manifold whose boundary is a torus. We show that if M is hyperbolic, then it admits at most six finite/cyclic fillings of maximal distance 5. Further, the distance of a finite/cyclic filling to a cyclic filling is at most 2. If M has a nonboundary-parallel, incompressible torus and is not a generalized 1-iterated torus knot complement, t...

We show that a Borel action of a Polish group on a standard Borel space is Borel isomorphic to a continuous action of the group on a Polish space, and we apply this result to three aspects of the theory of Borel actions of Polish groups: universal actions, invariant probability measures, and the Topological Vaught Conjecture. We establish the existence of universal actions for any given Polish ...

BACKGROUNDAND PURPOSE: The differentiation of pilocytic astrocytomas and high-grade astrocytomas is sometimes difficult. There are limited comparisons in the literature of the advanced MR imaging findings of pilocytic astrocytomas versus high-grade astrocytomas. The purpose of this study was to assess the MR imaging, PWI, DWI, and MR spectroscopy characteristics of pilocytic astrocytomas compar...

In this paper we examine the role of play in human ontogeny and phylogeny, following Surplus Resource Theory. We consider how juveniles use play to sample their environment in order to develop adaptive behaviors. We speculate about how innovative behaviors developed in play in response to environmental novelty may inXuence subsequent evolutionary processes. Play during this period of immaturity...

I first summarize Baltag and Smets’ contribution to this volume, and praise their work. Then I compare the anti-lexicographic plausibility update that they propose to a proposal by Aucher, as an illustration of the difference between a qualitative and a quantitive formulation of updates. I quote Spohn’s original work that is at the root of research in plausibility updates and of the notion of a...

0273-2297/$ see front matter 2012 Elsevier In http://dx.doi.org/10.1016/j.dr.2012.07.001 ⇑ Corresponding author. E-mail address: [email protected] (S.V. Wass Please cite this article in press as: Wass, S. V. ger, better? Developmental Review (2012), ht Authors have argued that various forms of interventions may be more effective in younger children. Is cognitive training also more effective, t...