9,994 research outputs found
Intrinsic flat convergence with bounded Ricci curvature
In this paper we address the relationship between Gromov-Hausdorff limits and
intrinsic flat limits of complete Riemannian manifolds. In
\cite{SormaniWenger2010, SormaniWenger2011}, Sormani-Wenger show that for a
sequence of Riemannian manifolds with nonnegative Ricci curvature, a uniform
upper bound on diameter, and non-collapsed volume, the intrinsic flat limit
exists and agrees with the Gromov-Hausdorff limit. This can be viewed as a
non-cancellation theorem showing that for such sequences, points don't cancel
each other out in the limit.
Here we prove a similar no-cancellation theorem, replacing the assumption of
nonnegative Ricci curvature with a two-sided bound on Ricci curvature. This
version corrects a mistake in the previous version of this paper (where we
assume only an arbitrary lower Ricci bound) which was due to a crucial error in
one of our supporting theorems for that argument.Comment: 12 pages, 1 figur
Capacity-testing as a means of increasing political inclusion
Some competent political actors, primarily young people and the cognitively impaired, are excluded from political participation by modern liberal democratic states. This exclusion occurs because the means utilized by states to distinguish between competent citizens (who must be included) and incompetent ones (who may be excluded) are imperfect. They include age restrictions on enfranchisement and, commonly, legal restrictions on enfranchisement for those with cognitive disabilities. Capacity-testing provides a means to improve on these existing mechanisms for exclusion. It is not, however, often suggested, nor seen as viable. Here, I argue that we should utilize capacity-testing to more effectively include capable citizens in our democratic practice. I defend a particular scope and kind of capacity-testing against common objections
Creative Downtown: The Role of Culture in Rebuilding Lower Manhattan
Examines how NYC arts groups and artists below Canal Street were affected by September 11, and possible actions the city, state, and private sector could take on behalf of arts and culture in rebuilding and revitalizing the downtown area
Outreach Program to Develop And Implement Local Land Use Regulations to Protect the Remaining Undisturbed Natural Shoreland Buffers in the Towns of Candia and Deerfield, NH
The towns of Candia and Deerfield, New Hampshire, both situated within the Great Bay/Little Bay watershed and the Lamprey River subwatershed have agreed to participate with the Southern New Hampshire Regional Planning Commission (SNHPC) to develop and implement land use regulations to protect the remaining undisturbed natural shoreline buffers along the Lamprey and North Branch Rivers (2nd order or higher streams and tributaries) and other surface waters within these communities
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