Splitting homomorphisms and the Geometrization Conjecture

This paper gives an algebraic conjecture which is shown to be equivalent to Thurston's Geometrization Conjecture for closed, orientable 3-manifolds. It generalizes the Stallings-Jaco theorem which established a similar result for the Poincare Conjecture. The paper also gives two other algebraic conjectures; one is equivalent to the finite fundamental group case of the Geometrization Conjecture, and the other is equivalent to the union of the Geometrization Conjecture and Thurston's Virtual Bundle Conjecture.Comment: 11 pages, Some typos are correcte

On covering translations and homeotopy groups of contractible open n-manifolds

This paper gives a new proof of a result of Geoghegan and Mihalik which states that whenever a contractible open $n$-manifold $W$ which is not homeomorphic to $\mathbf{R}^n$ is a covering space of an $n$-manifold $M$ and either $n \geq 4$ or $n=3$ and $W$ is irreducible, then the group of covering translations injects into the homeotopy group of $W$.Comment: 4 pages, LaTeX, amsart styl

Social Security: An Investment in Family Protection

When Social Security was passed into law in 1935, it was not intended to be an investment program to which Americans could contribute. Rather, it was established as a risk pool to which all Americans were mandated to contribute in order to insure the presence of a stable safety net. Social Security began in the Great Depression but by 1956 it had evolved into a full-scale family-oriented insurance program that included survivors' benefits. Its intent is to provide families with support for the contingencies that occur throughout the course of life, including disability, retirement and survival of widows and children. Thus, dependent spouses and children of victims of the tragic September 11th terrorist attacks will receive Social Security survivors' benefits.It is amazing to realize that public insurance provided by Social Security to cover disability and death is greater than all private coverage of life and disability, and that it covers some 3 million children as well as older people. In fulfilling its mission, the International Longevity Center studies a variety of systems to meet the needs of people through their life course in the United States and abroad. This Brief explores the Social Security Program in the US

Analysis of types of questions asked by sixth grade children concerning social studies content.

Thesis (M.A.)--Boston Universit