We produce a one-parameter family of hyperplane arrangements that are counterexamples to the conjecture of Saito that the complexified complement of a free arrangement is K(π , 1) . These arrangements are the restriction of a one-parameter family of arrangements that arose in the study of tilings of certain centrally symmetric octagons. This other family is discussed as well. I. Definitions and...

We review six explanatory dimensions of false memory in children that are relevant to forensic practice: measurement, development, social factors, individual differences, varieties of memories and memory judgments, and varieties of procedures that induce false memories. We conclude that, despite greater fidelity to real-world false memory contexts, recent studies fail to use known techniques th...

Submarine pyroclastic eruptions at depths greater than a few hundred meters are generally considered to be rare or absent because the pressure of the overlying water column is sufficient to suppress juvenile gas exsolution so that magmatic disruption and pyroclastic activity do not occur. Consideration of detailed models of the ascent and eruption of magma in a range of sea floor environments s...

The Internet has led to a large number of third-party sources that offer high-quality information about firms’s products at little or no cost to consumers. As a result, many of these sources have grown in popularity, extending well-beyond the usual reach of traditional third parties such as Consumer Reports and Kelly’s Blue Book. For example, the online version of Edmunds offers, at no cost to ...

Let M be a complete Riemannian manifold having constant sectional curvature —1 and finite volume. Let M denote its Gromov-Margulis manifold compactification and assume that the dimension of M is greater than 5. (If M is compact, then M = M and dM is empty.) We announce (among other results) that any homotopy equivalence h: (N,dN) —• (M,dM), where N is a compact manifold, is homotopic to a homeo...

We announce a detailed investigation of limits of N-soliton solutions of the Korteweg-deVries (KdV) equation as N tends to infinity. Our main results provide new classes of KdV-solutions including in particular new types of soliton-like (reflectionless) solutions. As a byproduct we solve an inverse spectral problem for one-dimensional Schrödinger operators and explicitly construct smooth and re...

Certain solvable extensions of //-type groups provide noncompact counterexamples to a conjecture of Lichnerowicz, which asserted that "harmonic" Riemannian spaces must be rank 1 symmetric spaces. A Riemannian space M with Laplace-Beltrami operator A is called harmonic if, given any function f(x) on M depending only on the distance d(x, Xo) from a given point xo, then also A/(x) depends only on ...

Let M be a G-covering of a nilpotent orbit in 0 where G isa complex semisimple Lie group and g = Lie(G). We prove that under Poisson bracket the space R[2] of homogeneous functions on M of degree 2 is the unique maximal semisimple Lie subalgebra of R = R{M) containing g . The action of g' ~ R[2] exponentiates to an action of the corresponding Lie group G' on a G'-cover M' of a nilpotent orbit i...

Historically, infants and very young children were thought incapable of explicit memory. As a result of changes in theoretical perspective and methodological developments, this assumption was challenged in the latter part of the 20th century. Substantial progress was made in describing age-related changes in explicit memory in the first two years of life. These developments permitted the first ...

Heart failure is one of the most important cardiovascular diseases, with high mortality, and invasive treatment such as mechanical circulatory support and cardiac transplantation is sometimes required for severe heart failure. Therefore, the development of less invasive and more effective therapeutic strategies is desired. Cell therapy is attracting growing interest as a new approach for the tr...